Search a number
-
+
10417732056 = 2334172341117
BaseRepresentation
bin10011011001111000…
…11111100111011000
3222220000210121210000
421230330133213120
5132313414411211
64441424053000
7516106155444
oct115474374730
928800717700
1010417732056
1144665a1316
122028a64160
13ca03c9ac4
1470b821824
1540e8c5656
hex26cf1f9d8

10417732056 has 160 divisors (see below), whose sum is σ = 32239801440. Its totient is φ = 3126131712.

The previous prime is 10417732049. The next prime is 10417732067. The reversal of 10417732056 is 65023771401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10417732056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 232810 + ... + 273926.

It is an arithmetic number, because the mean of its divisors is an integer number (201498759).

Almost surely, 210417732056 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 10417732056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16119900720).

10417732056 is an abundant number, since it is smaller than the sum of its proper divisors (21822069384).

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

10417732056 is a wasteful number, since it uses less digits than its factorization.

10417732056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41175 (or 41162 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 10417732056 in words is "ten billion, four hundred seventeen million, seven hundred thirty-two thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 23 24 27 34 36 46 51 54 68 69 72 81 92 102 108 136 138 153 162 184 204 207 216 276 306 324 391 408 414 459 552 612 621 648 782 828 918 1173 1224 1242 1377 1564 1656 1836 1863 2346 2484 2754 3128 3519 3672 3726 4692 4968 5508 7038 7452 9384 10557 11016 14076 14904 21114 28152 31671 41117 42228 63342 82234 84456 123351 126684 164468 246702 253368 328936 370053 493404 698989 740106 945691 986808 1110159 1397978 1480212 1891382 2096967 2220318 2795956 2837073 2960424 3330477 3782764 4193934 4440636 5591912 5674146 6290901 6660954 7565528 8387868 8511219 8881272 11348292 12581802 13321908 16076747 16775736 17022438 18872703 22696584 25163604 25533657 26643816 32153494 34044876 37745406 48230241 50327208 51067314 56618109 64306988 68089752 75490812 76600971 96460482 102134628 113236218 128613976 144690723 150981624 153201942 192920964 204269256 226472436 289381446 306403884 385841928 434072169 452944872 578762892 612807768 868144338 1157525784 1302216507 1736288676 2604433014 3472577352 5208866028 10417732056