Search a number
-
+
10057257556647 = 37671032673769
BaseRepresentation
bin1001001001011010001101…
…0000111001101010100111
31022121110112120102111112120
42102112203100321222213
52304234230413303042
633220123525121023
72055420134503320
oct222264320715247
938543476374476
1010057257556647
113228293775874
1211651b7259173
1357c51a68b262
1426aab96a1447
1512692ba29dec
hex925a3439aa7

10057257556647 has 48 divisors (see below), whose sum is σ = 15706581269760. Its totient is φ = 5606256433536.

The previous prime is 10057257556613. The next prime is 10057257556667. The reversal of 10057257556647 is 74665575275001.

It is not a de Polignac number, because 10057257556647 - 28 = 10057257556391 is a prime.

It is a super-2 number, since 2×100572575566472 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10057257556667) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14589979 + ... + 15263747.

It is an arithmetic number, because the mean of its divisors is an integer number (327220443120).

Almost surely, 210057257556647 is an apocalyptic number.

10057257556647 is a deficient number, since it is larger than the sum of its proper divisors (5649323713113).

10057257556647 is an equidigital number, since it uses as much as digits as its factorization.

10057257556647 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674052 (or 673949 counting only the distinct ones).

The product of its (nonzero) digits is 61740000, while the sum is 60.

The spelling of 10057257556647 in words is "ten trillion, fifty-seven billion, two hundred fifty-seven million, five hundred fifty-six thousand, six hundred forty-seven".

Divisors: 1 3 7 21 67 103 201 309 469 721 1407 2163 6901 10609 20703 31827 48307 74263 144921 222789 673769 710803 2021307 2132409 4716383 4975621 14149149 14926863 45142523 69398207 135427569 208194621 315997661 485787449 947992983 1457362347 4649679869 7148015321 13949039607 21444045963 32547759083 50036107247 97643277249 150108321741 478917026507 1436751079521 3352419185549 10057257556647