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104460644864 = 292337475101
BaseRepresentation
bin110000101001001010…
…1101111001000000000
3100222122001010120122202
41201102111233020000
53202413411113424
6115553310052332
710355426555012
oct1412225571000
9328561116582
10104460644864
1140335346664
12182b37aa0a8
139b099b7084
1450ad6441b2
152ab5b522ae
hex185256f200

104460644864 has 160 divisors (see below), whose sum is σ = 228482090496. Its totient is φ = 47565619200.

The previous prime is 104460644833. The next prime is 104460644867. The reversal of 104460644864 is 468446064401.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is not an unprimeable number, because it can be changed into a prime (104460644867) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20475914 + ... + 20481014.

Almost surely, 2104460644864 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 104460644864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114241045248).

104460644864 is an abundant number, since it is smaller than the sum of its proper divisors (124021445632).

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

104460644864 is an equidigital number, since it uses as much as digits as its factorization.

104460644864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5226 (or 5210 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 47.

The spelling of 104460644864 in words is "one hundred four billion, four hundred sixty million, six hundred forty-four thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 23 32 37 46 47 64 74 92 94 128 148 184 188 256 296 368 376 512 592 736 752 851 1081 1184 1472 1504 1702 1739 2162 2368 2944 3008 3404 3478 4324 4736 5101 5888 6016 6808 6956 8648 9472 10202 11776 12032 13616 13912 17296 18944 20404 24064 27232 27824 34592 39997 40808 54464 55648 69184 79994 81616 108928 111296 117323 138368 159988 163232 188737 217856 222592 234646 239747 276736 319976 326464 377474 435712 445184 469292 479494 553472 639952 652928 754948 890368 938584 958988 1279904 1305856 1509896 1877168 1917976 2559808 2611712 3019792 3754336 3835952 4340951 5119616 5514181 6039584 7508672 7671904 8681902 8870639 10239232 11028362 12079168 15017344 15343808 17363804 17741278 20478464 22056724 24158336 30034688 30687616 34727608 35482556 44113448 48316672 60069376 61375232 69455216 70965112 88226896 96633344 122750464 138910432 141930224 176453792 204024697 277820864 283860448 352907584 408049394 555641728 567720896 705815168 816098788 1111283456 1135441792 1411630336 1632197576 2222566912 2270883584 2823260672 3264395152 4541767168 6528790304 13057580608 26115161216 52230322432 104460644864