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1111382279952 = 243719197883699
BaseRepresentation
bin10000001011000011100…
…010111100011100010000
310221020200010211111110220
4100023003202330130100
5121202102330424302
62210321215153040
7143203042340130
oct20130342743420
93836603744426
101111382279952
1139937536142a
1215b487815780
1380a58c7b779
143bb11048ac0
151dd99da34bc
hex102c38bc710

1111382279952 has 160 divisors (see below), whose sum is σ = 3471456384000. Its totient is φ = 299297908224.

The previous prime is 1111382279947. The next prime is 1111382279981. The reversal of 1111382279952 is 2599722831111.

It is a super-2 number, since 2×11113822799522 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1111382279895 and 1111382279904.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 815799 + ... + 1699497.

It is an arithmetic number, because the mean of its divisors is an integer number (21696602400).

Almost surely, 21111382279952 is an apocalyptic number.

1111382279952 is a gapful number since it is divisible by the number (12) 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 1111382279952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1735728192000).

1111382279952 is an abundant number, since it is smaller than the sum of its proper divisors (2360074104048).

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

1111382279952 is a wasteful number, since it uses less digits than its factorization.

1111382279952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883933 (or 883927 counting only the distinct ones).

The product of its digits is 544320, while the sum is 51.

The spelling of 1111382279952 in words is "one trillion, one hundred eleven billion, three hundred eighty-two million, two hundred seventy-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 197 228 266 304 336 394 399 456 532 591 788 798 912 1064 1182 1379 1576 1596 2128 2364 2758 3152 3192 3743 4137 4728 5516 6384 7486 8274 9456 11032 11229 14972 16548 22064 22458 26201 29944 33096 44916 52402 59888 66192 78603 89832 104804 157206 179664 209608 314412 419216 628824 883699 1257648 1767398 2651097 3534796 5302194 6185893 7069592 10604388 12371786 14139184 16790281 18557679 21208776 24743572 33580562 37115358 42417552 49487144 50370843 67161124 74230716 98974288 100741686 117531967 134322248 148461432 174088703 201483372 235063934 268644496 296922864 348177406 352595901 402966744 470127868 522266109 696354812 705191802 805933488 940255736 1044532218 1218620921 1392709624 1410383604 1880511472 2089064436 2437241842 2785419248 2820767208 3307685357 3655862763 4178128872 4874483684 5641534416 6615370714 7311725526 8356257744 9748967368 9923056071 13230741428 14623451052 19497934736 19846112142 23153797499 26461482856 29246902104 39692224284 46307594998 52922965712 58493804208 69461392497 79384448568 92615189996 138922784994 158768897136 185230379992 277845569988 370460759984 555691139976 1111382279952