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10100673438 = 2337971972381
BaseRepresentation
bin10010110100000110…
…00000101110011110
3222001221012101010020
421122003000232132
5131141233022223
64350140253010
7505206210342
oct113203005636
928057171106
1010100673438
1143136264a9
121b5a841166
13c4c80865b
146bb68b622
153e1b471e3
hex25a0c0b9e

10100673438 has 64 divisors (see below), whose sum is σ = 21076469568. Its totient is φ = 3224309760.

The previous prime is 10100673433. The next prime is 10100673529. The reversal of 10100673438 is 83437600101.

It is a super-2 number, since 2×101006734382 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10100673399 and 10100673408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100673433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4241008 + ... + 4243388.

It is an arithmetic number, because the mean of its divisors is an integer number (329319837).

Almost surely, 210100673438 is an apocalyptic number.

10100673438 is an abundant number, since it is smaller than the sum of its proper divisors (10975796130).

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

10100673438 is a wasteful number, since it uses less digits than its factorization.

10100673438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2717.

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 10100673438 in words is "ten billion, one hundred million, six hundred seventy-three thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 37 74 97 111 194 197 222 291 394 582 591 1182 2381 3589 4762 7143 7178 7289 10767 14286 14578 19109 21534 21867 38218 43734 57327 88097 114654 176194 230957 264291 461914 469057 528582 692871 707033 938114 1385742 1407171 1414066 2121099 2814342 4242198 8545409 17090818 17355109 25636227 34710218 45498529 51272454 52065327 90997058 104130654 136495587 272991174 1683445573 3366891146 5050336719 10100673438