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21115530264060 = 223252331871600367
BaseRepresentation
bin1001100110100010101111…
…01011100011110111111100
32202202121212121110102121200
410303101113223203313330
510231424101221422220
6112524201331055500
74306355344561131
oct463212753436774
982677777412550
1021115530264060
116801056398301
1224503b8441590
13ba225572836b
1452ddd613c588
152693e3e91890
hex133457ae3dfc

21115530264060 has 144 divisors (see below), whose sum is σ = 66856256603136. Its totient is φ = 5384296976256.

The previous prime is 21115530264043. The next prime is 21115530264079. The reversal of 21115530264060 is 6046203551112.

21115530264060 is a `hidden beast` number, since 2 + 1 + 1 + 1 + 5 + 5 + 3 + 0 + 2 + 640 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12393997 + ... + 13994363.

It is an arithmetic number, because the mean of its divisors is an integer number (464279559744).

Almost surely, 221115530264060 is an apocalyptic number.

21115530264060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21115530264060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33428128301568).

21115530264060 is an abundant number, since it is smaller than the sum of its proper divisors (45740726339076).

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

21115530264060 is a wasteful number, since it uses less digits than its factorization.

21115530264060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1603592 (or 1603587 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 21115530264060 in words is "twenty-one trillion, one hundred fifteen billion, five hundred thirty million, two hundred sixty-four thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 1035 1380 2070 3187 4140 6374 9561 12748 15935 19122 28683 31870 38244 47805 57366 63740 73301 95610 114732 143415 146602 191220 219903 286830 293204 366505 439806 573660 659709 733010 879612 1099515 1319418 1466020 1600367 2199030 2638836 3200734 3298545 4398060 4801101 6401468 6597090 8001835 9602202 13194180 14403303 16003670 19204404 24005505 28806606 32007340 36808441 48011010 57613212 72016515 73616882 96022020 110425323 144033030 147233764 184042205 220850646 288066060 331275969 368084410 441701292 552126615 662551938 736168820 1104253230 1325103876 1656379845 2208506460 3312759690 5100369629 6625519380 10200739258 15301108887 20401478516 25501848145 30602217774 45903326661 51003696290 61204435548 76505544435 91806653322 102007392580 117308501467 153011088870 183613306644 229516633305 234617002934 306022177740 351925504401 459033266610 469234005868 586542507335 703851008802 918066533220 1055776513203 1173085014670 1407702017604 1759627522005 2111553026406 2346170029340 3519255044010 4223106052812 5278882566015 7038510088020 10557765132030 21115530264060