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10820906397 = 310747557
BaseRepresentation
bin10100001001111100…
…11110110110011101
31000221010110000000000
422010332132312131
5134130123001042
64545425324513
7532103121030
oct120476366635
930833400000
1010820906397
114653135154
12211ba96739
131035ab01c2
147491b1017
15434eb474c
hex284f9ed9d

10820906397 has 88 divisors (see below), whose sum is σ = 18978713856. Its totient is φ = 6040948896.

The previous prime is 10820906377. The next prime is 10820906399. The reversal of 10820906397 is 79360902801.

10820906397 is a `hidden beast` number, since 1 + 0 + 8 + 2 + 0 + 9 + 0 + 639 + 7 = 666.

It is not a de Polignac number, because 10820906397 - 210 = 10820905373 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10820906399) by changing a digit.

It is a polite number, since it can be written in 87 ways as a sum of consecutive naturals, for example, 19426843 + ... + 19427399.

Almost surely, 210820906397 is an apocalyptic number.

It is an amenable number.

10820906397 is a deficient number, since it is larger than the sum of its proper divisors (8157807459).

10820906397 is an frugal number, since it uses more digits than its factorization.

10820906397 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 10820906397 in words is "ten billion, eight hundred twenty million, nine hundred six thousand, three hundred ninety-seven".

Divisors: 1 3 7 9 21 27 47 63 81 141 189 243 329 423 557 567 729 987 1269 1671 1701 2187 2961 3807 3899 5013 5103 6561 8883 11421 11697 15039 15309 19683 26179 26649 34263 35091 45117 45927 59049 78537 79947 102789 105273 135351 137781 183253 235611 239841 308367 315819 406053 413343 549759 706833 719523 925101 947457 1218159 1649277 2120499 2158569 2775303 2842371 3654477 4947831 6361497 6475707 8527113 10963431 14843493 19084491 19427121 25581339 32890293 44530479 57253473 76744017 133591437 171760419 230232051 400774311 515281257 1202322933 1545843771 3606968799 10820906397