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11972393110240 = 2552316319959311
BaseRepresentation
bin1010111000111000101000…
…1111010000101011100000
31120101112211122211210111221
42232032022033100223200
53032123430114011430
641244012542344424
72343656030223313
oct256161217205340
946345748753457
1011972393110240
1138a6510877a32
1214143b628b114
1368acb8070464
142d567731c97a
1515b66945b57a
hexae38a3d0ae0

11972393110240 has 96 divisors (see below), whose sum is σ = 29695624068096. Its totient is φ = 4552638773760.

The previous prime is 11972393110193. The next prime is 11972393110247. The reversal of 11972393110240 is 4201139327911.

It is a super-2 number, since 2×119723931102402 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11972393110247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9379816 + ... + 10579495.

It is an arithmetic number, because the mean of its divisors is an integer number (309329417376).

Almost surely, 211972393110240 is an apocalyptic number.

11972393110240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11972393110240 is an abundant number, since it is smaller than the sum of its proper divisors (17723230957856).

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

11972393110240 is a wasteful number, since it uses less digits than its factorization.

11972393110240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19959512 (or 19959504 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 43.

The spelling of 11972393110240 in words is "eleven trillion, nine hundred seventy-two billion, three hundred ninety-three million, one hundred ten thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 163 184 230 326 368 460 652 736 815 920 1304 1630 1840 2608 3260 3680 3749 5216 6520 7498 13040 14996 18745 26080 29992 37490 59984 74980 119968 149960 299920 599840 19959311 39918622 79837244 99796555 159674488 199593110 319348976 399186220 459064153 638697952 798372440 918128306 1596744880 1836256612 2295320765 3193489760 3253367693 3672513224 4590641530 6506735386 7345026448 9181283060 13013470772 14690052896 16266838465 18362566120 26026941544 32533676930 36725132240 52053883088 65067353860 73450264480 74827456939 104107766176 130134707720 149654913878 260269415440 299309827756 374137284695 520538830880 598619655512 748274569390 1197239311024 1496549138780 2394478622048 2993098277560 5986196555120 11972393110240