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2007521752957 = 7329597148179
BaseRepresentation
bin11101001101101001100…
…111101111011101111101
321002220202122100111020221
4131031221213233131331
5230342401032043312
64134124234141341
7265016155231000
oct35155147573575
97086678314227
102007521752957
1170442676a146
122850a2b81851
1311740199a676
146d243825537
153734850a207
hex1d3699ef77d

2007521752957 has 64 divisors (see below), whose sum is σ = 2497651200000. Its totient is φ = 1610201261760.

The previous prime is 2007521752937. The next prime is 2007521753033. The reversal of 2007521752957 is 7592571257002.

It is not a de Polignac number, because 2007521752957 - 223 = 2007513364349 is a prime.

It is a super-2 number, since 2×20075217529572 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2007521752937) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41643894 + ... + 41692072.

It is an arithmetic number, because the mean of its divisors is an integer number (39025800000).

Almost surely, 22007521752957 is an apocalyptic number.

It is an amenable number.

2007521752957 is a deficient number, since it is larger than the sum of its proper divisors (490129447043).

2007521752957 is an equidigital number, since it uses as much as digits as its factorization.

2007521752957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48359 (or 48345 counting only the distinct ones).

The product of its (nonzero) digits is 3087000, while the sum is 52.

The spelling of 2007521752957 in words is "two trillion, seven billion, five hundred twenty-one million, seven hundred fifty-two thousand, nine hundred fifty-seven".

Divisors: 1 7 29 49 59 71 203 343 413 497 1421 1711 2059 2891 3479 4189 9947 11977 14413 20237 24353 29323 48179 83839 100891 121481 205261 337253 586873 706237 850367 1397191 1436827 2360771 2842561 3420709 5952569 9780337 16525397 19897927 23944963 41667983 68462359 82434269 99200561 139285489 167614741 201821831 479236513 577039883 694403927 974998423 1173303187 1412752817 4039279181 4860827489 5852833099 9889269719 28274954267 34025792423 40969831693 69224888033 286788821851 2007521752957