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146955667379136 = 2637119940183129
BaseRepresentation
bin100001011010011111001000…
…010110100001001111000000
3201021022211021010120000222120
4201122133020112201033000
5123230210201322113021
61240314300202404240
742645124301346630
oct4132371026411700
9637284233500876
10146955667379136
1142908604122350
1214594bab800680
1363ccb24485395
14284099977a6c0
1511ec9c2b792c6
hex85a7c85a13c0

146955667379136 has 112 divisors (see below), whose sum is σ = 484762850883840. Its totient is φ = 38170303211520.

The previous prime is 146955667379111. The next prime is 146955667379159. The reversal of 146955667379136 is 631973766559641.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4970076781 + ... + 4970106348.

Almost surely, 2146955667379136 is an apocalyptic number.

146955667379136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

146955667379136 is an abundant number, since it is smaller than the sum of its proper divisors (337807183504704).

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

146955667379136 is a wasteful number, since it uses less digits than its factorization.

146955667379136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9940183162 (or 9940183152 counting only the distinct ones).

The product of its digits is 4629441600, while the sum is 78.

The spelling of 146955667379136 in words is "one hundred forty-six trillion, nine hundred fifty-five billion, six hundred sixty-seven million, three hundred seventy-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 132 154 168 176 192 224 231 264 308 336 352 448 462 528 616 672 704 924 1056 1232 1344 1848 2112 2464 3696 4928 7392 14784 9940183129 19880366258 29820549387 39760732516 59641098774 69581281903 79521465032 109342014419 119282197548 139162563806 159042930064 208743845709 218684028838 238564395096 278325127612 318085860128 328026043257 417487691418 437368057676 477128790192 556650255224 636171720256 656052086514 765394100933 834975382836 874736115352 954257580384 1113300510448 1312104173028 1530788201866 1669950765672 1749472230704 1908515160768 2226601020896 2296182302799 2624208346056 3061576403732 3339901531344 3498944461408 4453202041792 4592364605598 5248416692112 6123152807464 6679803062688 6997888922816 9184729211196 10496833384224 12246305614928 13359606125376 18369458422392 20993666768448 24492611229856 36738916844784 48985222459712 73477833689568 146955667379136