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11893451856 = 24311135332693
BaseRepresentation
bin10110001001110011…
…11010110001010000
31010200212121221202220
423010321322301100
5143324210424411
65244101541040
7600505446516
oct130471726120
933625557686
1011893451856
1150535a8460
12237b114780
13117706a6a0
1480b8044b6
15499225b06
hex2c4e7ac50

11893451856 has 160 divisors (see below), whose sum is σ = 36778396032. Its totient is φ = 3263969280.

The previous prime is 11893451839. The next prime is 11893451951. The reversal of 11893451856 is 65815439811.

It is a junction number, because it is equal to n+sod(n) for n = 11893451799 and 11893451808.

It is a congruent number.

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, 347446 + ... + 380138.

Almost surely, 211893451856 is an apocalyptic number.

11893451856 is a gapful number since it is divisible by the number (16) 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 11893451856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18389198016).

11893451856 is an abundant number, since it is smaller than the sum of its proper divisors (24884944176).

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

11893451856 is a wasteful number, since it uses less digits than its factorization.

11893451856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32781 (or 32775 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 51.

The spelling of 11893451856 in words is "eleven billion, eight hundred ninety-three million, four hundred fifty-one thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 53 66 78 88 104 106 132 143 156 159 176 208 212 264 286 312 318 424 429 528 572 583 624 636 689 848 858 1144 1166 1272 1378 1716 1749 2067 2288 2332 2544 2756 3432 3498 4134 4664 5512 6864 6996 7579 8268 9328 11024 13992 15158 16536 22737 27984 30316 32693 33072 45474 60632 65386 90948 98079 121264 130772 181896 196158 261544 359623 363792 392316 425009 523088 719246 784632 850018 1078869 1275027 1438492 1569264 1700036 1732729 2157738 2550054 2876984 3400072 3465458 4315476 4675099 5100108 5198187 5753968 6800144 6930916 8630952 9350198 10200216 10396374 13861832 14025297 17261904 18700396 19060019 20400432 20792748 22525477 27723664 28050594 37400792 38120038 41585496 45050954 56101188 57180057 67576431 74801584 76240076 83170992 90101908 112202376 114360114 135152862 152480152 180203816 224404752 228720228 247780247 270305724 304960304 360407632 457440456 495560494 540611448 743340741 914880912 991120988 1081222896 1486681482 1982241976 2973362964 3964483952 5946725928 11893451856