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46201315664 = 2472924159023
BaseRepresentation
bin101011000001110100…
…000010000101010000
311102020211221000100102
4223001310002011100
51224110014100124
633120302311532
73223624463210
oct530164020520
9142224830312
1046201315664
1118659490309
128b548885a8
134483a7640a
142344022240
151306138aae
hexac1d02150

46201315664 has 80 divisors (see below), whose sum is σ = 106271531520. Its totient is φ = 19038136320.

The previous prime is 46201315663. The next prime is 46201315691. The reversal of 46201315664 is 46651310264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46201315663) 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, 753257 + ... + 812279.

It is an arithmetic number, because the mean of its divisors is an integer number (1328394144).

Almost surely, 246201315664 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 46201315664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53135765760).

46201315664 is an abundant number, since it is smaller than the sum of its proper divisors (60070215856).

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

46201315664 is a wasteful number, since it uses less digits than its factorization.

46201315664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59308 (or 59302 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 38.

The spelling of 46201315664 in words is "forty-six billion, two hundred one million, three hundred fifteen thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 112 116 203 232 241 406 464 482 812 964 1624 1687 1928 3248 3374 3856 6748 6989 13496 13978 26992 27956 48923 55912 59023 97846 111824 118046 195692 236092 391384 413161 472184 782768 826322 944368 1652644 1711667 3305288 3423334 6610576 6846668 11981669 13693336 14224543 23963338 27386672 28449086 47926676 56898172 95853352 99571801 113796344 191706704 199143602 227592688 398287204 412511747 796574408 825023494 1593148816 1650046988 2887582229 3300093976 5775164458 6600187952 11550328916 23100657832 46201315664