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21133159499052 = 2235171737392701
BaseRepresentation
bin1001100111000011100100…
…11101110000010100101100
32202211022101012222100200000
410303201302131300110230
510232221202312432202
6112540234530504300
74310551251602526
oct463416235602454
982738335870600
1021133159499052
1168085826624a7
1224538b8435090
13ba3b04bb2063
14530bc9614a16
15269ac6a0d91c
hex13387277052c

21133159499052 has 144 divisors (see below), whose sum is σ = 58996245907872. Its totient is φ = 6591686169600.

The previous prime is 21133159499017. The next prime is 21133159499059. The reversal of 21133159499052 is 25099495133112.

It is a happy number.

21133159499052 is a `hidden beast` number, since 2 + 1 + 13 + 31 + 594 + 9 + 9 + 0 + 5 + 2 = 666.

It is a super-2 number, since 2×211331594990522 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 21133159499052.

It is not an unprimeable number, because it can be changed into a prime (21133159499059) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 837699 + ... + 6555002.

It is an arithmetic number, because the mean of its divisors is an integer number (409696152138).

Almost surely, 221133159499052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21133159499052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29498122953936).

21133159499052 is an abundant number, since it is smaller than the sum of its proper divisors (37863086408820).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21133159499052 is a wasteful number, since it uses less digits than its factorization.

21133159499052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7392910 (or 7392896 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 54.

The spelling of 21133159499052 in words is "twenty-one trillion, one hundred thirty-three billion, one hundred fifty-nine million, four hundred ninety-nine thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 173 204 243 306 324 346 459 486 519 612 692 918 972 1038 1377 1557 1836 2076 2754 2941 3114 4131 4671 5508 5882 6228 8262 8823 9342 11764 14013 16524 17646 18684 26469 28026 35292 42039 52938 56052 79407 84078 105876 158814 168156 238221 317628 476442 714663 952884 1429326 2858652 7392701 14785402 22178103 29570804 44356206 66534309 88712412 125675917 133068618 199602927 251351834 266137236 377027751 399205854 502703668 598808781 754055502 798411708 1131083253 1197617562 1278937273 1508111004 1796426343 2262166506 2395235124 2557874546 3393249759 3592852686 3836811819 4524333012 5115749092 6786499518 7185705372 7673623638 10179749277 11510435457 13572999036 15347247276 20359498554 21741933641 23020870914 30539247831 34531306371 40718997108 43483867282 46041741828 61078495662 65225800923 69062612742 86967734564 103593919113 122156991324 130451601846 138125225484 195677402769 207187838226 260903203692 310781757339 391354805538 414375676452 587032208307 621563514678 782709611076 1174064416614 1243127029356 1761096624921 2348128833228 3522193249842 5283289874763 7044386499684 10566579749526 21133159499052