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55810457136 = 2433748737897
BaseRepresentation
bin110011111110100011…
…111111111000110000
312100001112012222101000
4303332203333320300
51403244434112021
641350003442000
74014015026010
oct637643777060
9170045188330
1055810457136
112173a603545
12a996986300
1353557a3145
1429b62bdc40
1516b9a3bb26
hexcfe8ffe30

55810457136 has 160 divisors (see below), whose sum is σ = 183462702080. Its totient is φ = 15912681984.

The previous prime is 55810457113. The next prime is 55810457243. The reversal of 55810457136 is 63175401855.

55810457136 is a `hidden beast` number, since 5 + 58 + 10 + 457 + 136 = 666.

It is a super-2 number, since 2×558104571362 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 55810457091 and 55810457100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1453740 + ... + 1491636.

It is an arithmetic number, because the mean of its divisors is an integer number (1146641888).

Almost surely, 255810457136 is an apocalyptic number.

55810457136 is a gapful number since it is divisible by the number (56) 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 55810457136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91731351040).

55810457136 is an abundant number, since it is smaller than the sum of its proper divisors (127652244944).

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

55810457136 is a wasteful number, since it uses less digits than its factorization.

55810457136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38408 (or 38396 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 55810457136 in words is "fifty-five billion, eight hundred ten million, four hundred fifty-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 487 504 756 974 1008 1461 1512 1948 2922 3024 3409 3896 4383 5844 6818 7792 8766 10227 11688 13149 13636 17532 20454 23376 26298 27272 30681 35064 37897 40908 52596 54544 61362 70128 75794 81816 92043 105192 113691 122724 151588 163632 184086 210384 227382 245448 265279 303176 341073 368172 454764 490896 530558 606352 682146 736344 795837 909528 1023219 1061116 1364292 1472688 1591674 1819056 2046438 2122232 2387511 2728584 3183348 4092876 4244464 4775022 5457168 6366696 7162533 8185752 9550044 12733392 14325066 16371504 18455839 19100088 28650132 36911678 38200176 55367517 57300264 73823356 110735034 114600528 129190873 147646712 166102551 221470068 258381746 295293424 332205102 387572619 442940136 498307653 516763492 664410204 775145238 885880272 996615306 1033526984 1162717857 1328820408 1550290476 1993230612 2067053968 2325435714 2657640816 3100580952 3488153571 3986461224 4650871428 6201161904 6976307142 7972922448 9301742856 13952614284 18603485712 27905228568 55810457136