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10291820136 = 2331331910273
BaseRepresentation
bin10011001010111000…
…01011011001101000
3222120020212122002120
421211130023121220
5132034201221021
64421125231240
7513020012343
oct114534133150
928506778076
1010291820136
114401511884
121bb2862520
13c802b3000
146d8c0745a
154038032c6
hex26570b668

10291820136 has 128 divisors (see below), whose sum is σ = 29342544000. Its totient is φ = 2999752704.

The previous prime is 10291820113. The next prime is 10291820173. The reversal of 10291820136 is 63102819201.

It is a junction number, because it is equal to n+sod(n) for n = 10291820097 and 10291820106.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 996696 + ... + 1006968.

It is an arithmetic number, because the mean of its divisors is an integer number (229238625).

Almost surely, 210291820136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10291820136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14671272000).

10291820136 is an abundant number, since it is smaller than the sum of its proper divisors (19050723864).

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

10291820136 is a wasteful number, since it uses less digits than its factorization.

10291820136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10340 (or 10310 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The spelling of 10291820136 in words is "ten billion, two hundred ninety-one million, eight hundred twenty thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 76 78 104 114 152 156 169 228 247 312 338 456 494 507 676 741 988 1014 1352 1482 1976 2028 2197 2964 3211 4056 4394 5928 6422 6591 8788 9633 10273 12844 13182 17576 19266 20546 25688 26364 30819 38532 41092 41743 52728 61638 77064 82184 83486 123276 125229 133549 166972 195187 246552 250458 267098 333944 390374 400647 500916 534196 585561 780748 801294 1001832 1068392 1171122 1561496 1602588 1736137 2342244 2537431 3205176 3472274 4684488 5074862 5208411 6944548 7612293 10149724 10416822 13889096 15224586 20299448 20833644 22569781 30449172 32986603 41667288 45139562 60898344 65973206 67709343 90279124 98959809 131946412 135418686 180558248 197919618 263892824 270837372 395839236 428825839 541674744 791678472 857651678 1286477517 1715303356 2572955034 3430606712 5145910068 10291820136