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46379591664 = 2437721919121
BaseRepresentation
bin101011001100011100…
…000110011111110000
311102201021101101001020
4223030130012133300
51224441133413124
633150111335440
73231221011260
oct531434063760
9142637341036
1046379591664
111874008574a
128ba4521580
1344b1995683
14235d98b7a0
151316b01379
hexacc7067f0

46379591664 has 80 divisors (see below), whose sum is σ = 136956353280. Its totient is φ = 13248783360.

The previous prime is 46379591659. The next prime is 46379591677. The reversal of 46379591664 is 46619597364.

It is a happy number.

46379591664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 46379591598 and 46379591607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2416024 + ... + 2435144.

It is an arithmetic number, because the mean of its divisors is an integer number (1711954416).

Almost surely, 246379591664 is an apocalyptic number.

It is an amenable number.

46379591664 is an abundant number, since it is smaller than the sum of its proper divisors (90576761616).

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

46379591664 is a wasteful number, since it uses less digits than its factorization.

46379591664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26358 (or 26352 counting only the distinct ones).

The product of its digits is 29393280, while the sum is 60.

The spelling of 46379591664 in words is "forty-six billion, three hundred seventy-nine million, five hundred ninety-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 7219 14438 19121 21657 28876 38242 43314 50533 57363 57752 76484 86628 101066 114726 115504 133847 151599 152968 173256 202132 229452 267694 303198 305936 346512 401541 404264 458904 535388 606396 803082 808528 917808 1070776 1212792 1606164 2141552 2425584 3212328 6424656 138034499 276068998 414103497 552137996 828206994 966241493 1104275992 1656413988 1932482986 2208551984 2898724479 3312827976 3864965972 5797448958 6625655952 7729931944 11594897916 15459863888 23189795832 46379591664