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10045697433968 = 247297342368317
BaseRepresentation
bin1001001000101111001000…
…1110100010000101110000
31022120100200221000102102202
42102023302032202011300
52304042042020341333
633210532451402332
72054530514205620
oct222136216420560
938510627012382
1010045697433968
1132233a1346579
121162b0b8b33a8
1357b3c76baa91
1426a300268880
151264a1be85e8
hex922f23a2170

10045697433968 has 80 divisors (see below), whose sum is σ = 23326301158080. Its totient is φ = 4099897202688.

The previous prime is 10045697433953. The next prime is 10045697434009. The reversal of 10045697433968 is 86933479654001.

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, 20947055 + ... + 21421262.

It is an arithmetic number, because the mean of its divisors is an integer number (291578764476).

Almost surely, 210045697433968 is an apocalyptic number.

It is an amenable number.

10045697433968 is an abundant number, since it is smaller than the sum of its proper divisors (13280603724112).

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

10045697433968 is a wasteful number, since it uses less digits than its factorization.

10045697433968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42368434 (or 42368428 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 65.

The spelling of 10045697433968 in words is "ten trillion, forty-five billion, six hundred ninety-seven million, four hundred thirty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 73 112 116 146 203 232 292 406 464 511 584 812 1022 1168 1624 2044 2117 3248 4088 4234 8176 8468 14819 16936 29638 33872 59276 118552 237104 42368317 84736634 169473268 296578219 338946536 593156438 677893072 1186312876 1228681193 2372625752 2457362386 3092887141 4745251504 4914724772 6185774282 8600768351 9829449544 12371548564 17201536702 19658899088 21650209987 24743097128 34403073404 43300419974 49486194256 68806146808 86600839948 89693727089 137612293616 173201679896 179387454178 346403359792 358774908356 627856089623 717549816712 1255712179246 1435099633424 2511424358492 5022848716984 10045697433968