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1332045312642 = 23211173710695551
BaseRepresentation
bin10011011000100100000…
…101100111001010000010
311201100020112021000002100
4103120210011213022002
5133311012100001032
62455533321531230
7165144216225012
oct23304405471202
94640215230070
101332045312642
11473a0a941950
121961ab343b16
13987c41405b5
14486854c5c42
15249b23b297c
hex13624167282

1332045312642 has 96 divisors (see below), whose sum is σ = 3423774541824. Its totient is φ = 369638208000.

The previous prime is 1332045312629. The next prime is 1332045312671. The reversal of 1332045312642 is 2462135402331.

1332045312642 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 0 + 4 + 5 + 3 + 1 + 2 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1332045312597 and 1332045312606.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5223234 + ... + 5472317.

It is an arithmetic number, because the mean of its divisors is an integer number (35664318144).

Almost surely, 21332045312642 is an apocalyptic number.

1332045312642 is an abundant number, since it is smaller than the sum of its proper divisors (2091729229182).

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

1332045312642 is a wasteful number, since it uses less digits than its factorization.

1332045312642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10695624 (or 10695621 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 1332045312642 in words is "one trillion, three hundred thirty-two billion, forty-five million, three hundred twelve thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 37 51 66 74 99 102 111 153 187 198 222 306 333 374 407 561 629 666 814 1122 1221 1258 1683 1887 2442 3366 3663 3774 5661 6919 7326 11322 13838 20757 41514 62271 124542 10695551 21391102 32086653 64173306 96259959 117651061 181824367 192519918 235302122 352953183 363648734 395735387 545473101 705906366 791470774 1058859549 1090946202 1187206161 1636419303 2000068037 2117719098 2374412322 3272838606 3561618483 4000136074 4353089257 6000204111 6727501579 7123236966 8706178514 12000408222 13059267771 13455003158 18000612333 20182504737 26118535542 36001224666 39177803313 40365009474 60547514211 74002517369 78355606626 121095028422 148005034738 222007552107 444015104214 666022656321 1332045312642