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106475473056 = 2533743697121
BaseRepresentation
bin110001100101001101…
…1101100100010100000
3101011211110101110100010
41203022123230202200
53221030210114211
6120525242524520
710456363405461
oct1431233544240
9334743343303
10106475473056
11411796a0927
1218776506740
13a06b2537c4
14522107cd68
152b829934a6
hex18ca6ec8a0

106475473056 has 96 divisors (see below), whose sum is σ = 293728171968. Its totient is φ = 33729454080.

The previous prime is 106475473051. The next prime is 106475473079. The reversal of 106475473056 is 650374574601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1064754730562 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 106475472996 and 106475473014.

It is not an unprimeable number, because it can be changed into a prime (106475473051) 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, 195825 + ... + 501296.

It is an arithmetic number, because the mean of its divisors is an integer number (3059668458).

Almost surely, 2106475473056 is an apocalyptic number.

106475473056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106475473056 is an abundant number, since it is smaller than the sum of its proper divisors (187252698912).

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

106475473056 is a wasteful number, since it uses less digits than its factorization.

106475473056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697214 (or 697206 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 48.

The spelling of 106475473056 in words is "one hundred six billion, four hundred seventy-five million, four hundred seventy-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 43 48 74 86 96 111 129 148 172 222 258 296 344 444 516 592 688 888 1032 1184 1376 1591 1776 2064 3182 3552 4128 4773 6364 9546 12728 19092 25456 38184 50912 76368 152736 697121 1394242 2091363 2788484 4182726 5576968 8365452 11153936 16730904 22307872 25793477 29976203 33461808 51586954 59952406 66923616 77380431 89928609 103173908 119904812 154760862 179857218 206347816 239809624 309521724 359714436 412695632 479619248 619043448 719428872 825391264 959238496 1109119511 1238086896 1438857744 2218239022 2476173792 2877715488 3327358533 4436478044 6654717066 8872956088 13309434132 17745912176 26618868264 35491824352 53237736528 106475473056