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46109832496 = 24713172964237
BaseRepresentation
bin101010111100010111…
…000011010100110000
311102000110210012000221
4222330113003110300
51223413104114441
633103233422424
73221434052350
oct527427032460
9142013705027
1046109832496
1118611886692
128b2a10aa14
13446ab25370
142335c0ab60
1512ed0b78d1
hexabc5c3530

46109832496 has 160 divisors (see below), whose sum is σ = 120438541440. Its totient is φ = 16575971328.

The previous prime is 46109832443. The next prime is 46109832511. The reversal of 46109832496 is 69423890164.

It is a super-2 number, since 2×461098324962 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 685690 + ... + 749926.

It is an arithmetic number, because the mean of its divisors is an integer number (752740884).

Almost surely, 246109832496 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 46109832496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60219270720).

46109832496 is an abundant number, since it is smaller than the sum of its proper divisors (74328708944).

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

46109832496 is a wasteful number, since it uses less digits than its factorization.

46109832496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64311 (or 64305 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 52.

The spelling of 46109832496 in words is "forty-six billion, one hundred nine million, eight hundred thirty-two thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 16 17 26 28 29 34 52 56 58 68 91 104 112 116 119 136 182 203 208 221 232 238 272 364 377 406 442 464 476 493 728 754 812 884 952 986 1456 1508 1547 1624 1768 1904 1972 2639 3016 3094 3248 3451 3536 3944 5278 6032 6188 6409 6902 7888 10556 12376 12818 13804 21112 24752 25636 27608 42224 44863 51272 55216 64237 89726 102544 128474 179452 256948 358904 449659 513896 717808 835081 899318 1027792 1092029 1670162 1798636 1862873 2184058 3340324 3597272 3725746 4368116 5845567 6680648 7194544 7451492 7644203 8736232 11691134 13040111 13361296 14196377 14902984 15288406 17472464 23382268 24217349 26080222 28392754 29805968 30576812 31668841 46764536 48434698 52160444 56785508 61153624 63337682 93529072 96869396 99374639 104320888 113571016 122307248 126675364 169521443 193738792 198749278 208641776 221681887 227142032 253350728 339042886 387477584 397498556 411694933 443363774 506701456 678085772 794997112 823389866 886727548 1356171544 1589994224 1646779732 1773455096 2712343088 2881864531 3293559464 3546910192 5763729062 6587118928 11527458124 23054916248 46109832496