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45717972216 = 23371973196201
BaseRepresentation
bin101010100101000000…
…001110010011111000
311101000011102121210020
4222211000032103320
51222112300102331
633000314450440
73205635231510
oct524500162370
9141004377706
1045717972216
1118430670214
128a3aa33a20
1344078a3987
1422d9b64840
1512c89b0c96
hexaa500e4f8

45717972216 has 128 divisors (see below), whose sum is σ = 139381900800. Its totient is φ = 12205209600.

The previous prime is 45717972193. The next prime is 45717972221. The reversal of 45717972216 is 61227971754.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 134916 + ... + 331116.

It is an arithmetic number, because the mean of its divisors is an integer number (1088921100).

Almost surely, 245717972216 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 45717972216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69690950400).

45717972216 is an abundant number, since it is smaller than the sum of its proper divisors (93663928584).

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

45717972216 is a wasteful number, since it uses less digits than its factorization.

45717972216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196309 (or 196305 counting only the distinct ones).

The product of its digits is 1481760, while the sum is 51.

The spelling of 45717972216 in words is "forty-five billion, seven hundred seventeen million, nine hundred seventy-two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 73 76 84 114 133 146 152 168 219 228 266 292 399 438 456 511 532 584 798 876 1022 1064 1387 1533 1596 1752 2044 2774 3066 3192 4088 4161 5548 6132 8322 9709 11096 12264 16644 19418 29127 33288 38836 58254 77672 116508 196201 233016 392402 588603 784804 1177206 1373407 1569608 2354412 2746814 3727819 4120221 4708824 5493628 7455638 8240442 10987256 11183457 14322673 14911276 16480884 22366914 26094733 28645346 29822552 32961768 42968019 44733828 52189466 57290692 78284199 85936038 89467656 100258711 104378932 114581384 156568398 171872076 200517422 208757864 272130787 300776133 313136796 343744152 401034844 544261574 601552266 626273592 802069688 816392361 1088523148 1203104532 1632784722 1904915509 2177046296 2406209064 3265569444 3809831018 5714746527 6531138888 7619662036 11429493054 15239324072 22858986108 45717972216