Search a number
-
+
64073574761672 = 23722835167111781
BaseRepresentation
bin11101001000110010010101…
…01010011100010011001000
322101212101002120222100220102
432210121022222130103020
531344240140114333142
6344134554402544532
716332106625206100
oct1644311252342310
9271771076870812
1064073574761672
11194634a5616133
127229a7a668148
13299a15c5a5b58
1411b726b34c200
15761a79de7532
hex3a464aa9c4c8

64073574761672 has 96 divisors (see below), whose sum is σ = 140274534280320. Its totient is φ = 27357530820480.

The previous prime is 64073574761641. The next prime is 64073574761701. The reversal of 64073574761672 is 27616747537046.

It is a junction number, because it is equal to n+sod(n) for n = 64073574761599 and 64073574761608.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 573150422 + ... + 573262202.

It is an arithmetic number, because the mean of its divisors is an integer number (1461193065420).

Almost surely, 264073574761672 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 64073574761672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70137267140160).

64073574761672 is an abundant number, since it is smaller than the sum of its proper divisors (76200959518648).

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

64073574761672 is a wasteful number, since it uses less digits than its factorization.

64073574761672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117251 (or 117240 counting only the distinct ones).

The product of its (nonzero) digits is 248935680, while the sum is 65.

The spelling of 64073574761672 in words is "sixty-four trillion, seventy-three billion, five hundred seventy-four million, seven hundred sixty-one thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 283 392 566 1132 1981 2264 3962 5167 7924 10334 13867 15848 20668 27734 36169 41336 55468 72338 110936 111781 144676 223562 253183 289352 447124 506366 782467 894248 1012732 1462261 1564934 2025464 2924522 3129868 5477269 5849044 6259736 10235827 10954538 11698088 20471654 21909076 31634023 40943308 43818152 63268046 71650789 81886616 126536092 143301578 221438161 253072184 286603156 442876322 573206312 577572427 885752644 1155144854 1550067127 1771505288 2310289708 3100134254 4043006989 4620579416 6200268508 8086013978 12400537016 16172027956 28301048923 32344055912 56602097846 113204195692 163452996841 226408391384 326905993682 653811987364 1144170977887 1307623974728 2288341955774 4576683911548 8009196845209 9153367823096 16018393690418 32036787380836 64073574761672