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106422503936 = 29743690553
BaseRepresentation
bin110001100011101000…
…1101000101000000000
3101011200202201100100212
41203013101220220000
53220423130111221
6120520111333252
710455151233530
oct1430721505000
9334622640325
10106422503936
11411518023a1
1218760821228
13a060298b28
1452180114c0
152b7cecdb5b
hex18c7468a00

106422503936 has 80 divisors (see below), whose sum is σ = 248665733184. Its totient is φ = 44548890624.

The previous prime is 106422503909. The next prime is 106422503959. The reversal of 106422503936 is 639305224601.

It is a super-2 number, since 2×1064225039362 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106422503893 and 106422503902.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 191165 + ... + 499388.

Almost surely, 2106422503936 is an apocalyptic number.

106422503936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106422503936 is an abundant number, since it is smaller than the sum of its proper divisors (142243229248).

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

106422503936 is an frugal number, since it uses more digits than its factorization.

106422503936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690621 (or 690605 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 41.

The spelling of 106422503936 in words is "one hundred six billion, four hundred twenty-two million, five hundred three thousand, nine hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 64 86 112 128 172 224 256 301 344 448 512 602 688 896 1204 1376 1792 2408 2752 3584 4816 5504 9632 11008 19264 22016 38528 77056 154112 690553 1381106 2762212 4833871 5524424 9667742 11048848 19335484 22097696 29693779 38670968 44195392 59387558 77341936 88390784 118775116 154683872 176781568 207856453 237550232 309367744 353563136 415712906 475100464 618735488 831425812 950200928 1237470976 1662851624 1900401856 2474941952 3325703248 3800803712 6651406496 7601607424 13302812992 15203214848 26605625984 53211251968 106422503936