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10314016722657 = 32191073547158923
BaseRepresentation
bin1001011000010110101101…
…0011011000111011100001
31100112000021120002120022200
42112011223103120323201
52322441101240111112
633534105513123413
72113106643424404
oct226055323307341
940460246076280
1010314016722657
11331717161052a
1211a6b133b9569
1359a7b8b9c75b
142792b5a5bd3b
1512d457e39cdc
hex9616b4d8ee1

10314016722657 has 48 divisors (see below), whose sum is σ = 15833254844160. Its totient is φ = 6451376292576.

The previous prime is 10314016722601. The next prime is 10314016722679. The reversal of 10314016722657 is 75622761041301.

10314016722657 is a `hidden beast` number, since 1 + 0 + 314 + 0 + 1 + 6 + 72 + 265 + 7 = 666.

10314016722657 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10314016722657 - 212 = 10314016718561 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10314014722657) 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, 64819998 + ... + 64978920.

It is an arithmetic number, because the mean of its divisors is an integer number (329859475920).

Almost surely, 210314016722657 is an apocalyptic number.

It is an amenable number.

10314016722657 is a deficient number, since it is larger than the sum of its proper divisors (5519238121503).

10314016722657 is a wasteful number, since it uses less digits than its factorization.

10314016722657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162602 (or 162599 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

Adding to 10314016722657 its reverse (75622761041301), we get a palindrome (85936777763958).

The spelling of 10314016722657 in words is "ten trillion, three hundred fourteen billion, sixteen million, seven hundred twenty-two thousand, six hundred fifty-seven".

Divisors: 1 3 9 19 57 107 171 321 963 2033 3547 6099 10641 18297 31923 67393 158923 202179 379529 476769 606537 1138587 1430307 3019537 3415761 7211051 9058611 17004761 21633153 27175833 51014283 64899459 153042849 323090459 563699881 969271377 1691099643 2907814131 5073298929 10710297739 32130893217 60315887267 96392679651 180947661801 542842985403 1146001858073 3438005574219 10314016722657