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46864619840 = 2654317211979
BaseRepresentation
bin101011101001010110…
…010101100101000000
311110222002001100121202
4223221112111211000
51231434320313330
633310155240332
73246230460503
oct535126254500
9143862040552
1046864619840
1118969946585
1290baa490a8
13455b307bac
1423a816713a
1513444ad445
hexae9595940

46864619840 has 112 divisors (see below), whose sum is σ = 114315727680. Its totient is φ = 18290012160.

The previous prime is 46864619821. The next prime is 46864619897. The reversal of 46864619840 is 4891646864.

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, 23679971 + ... + 23681949.

It is an arithmetic number, because the mean of its divisors is an integer number (1020676140).

Almost surely, 246864619840 is an apocalyptic number.

46864619840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46864619840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57157863840).

46864619840 is an abundant number, since it is smaller than the sum of its proper divisors (67451107840).

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

46864619840 is a wasteful number, since it uses less digits than its factorization.

46864619840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3760 (or 3750 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 56.

The spelling of 46864619840 in words is "forty-six billion, eight hundred sixty-four million, six hundred nineteen thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 64 80 86 160 172 215 320 344 430 688 860 1376 1720 1721 1979 2752 3440 3442 3958 6880 6884 7916 8605 9895 13760 13768 15832 17210 19790 27536 31664 34420 39580 55072 63328 68840 74003 79160 85097 110144 126656 137680 148006 158320 170194 275360 296012 316640 340388 370015 425485 550720 592024 633280 680776 740030 850970 1184048 1361552 1480060 1701940 2368096 2723104 2960120 3403880 3405859 4736192 5446208 5920240 6807760 6811718 11840480 13615520 13623436 17029295 23680960 27231040 27246872 34058590 54493744 68117180 108987488 136234360 146451937 217974976 272468720 292903874 544937440 585807748 732259685 1089874880 1171615496 1464519370 2343230992 2929038740 4686461984 5858077480 9372923968 11716154960 23432309920 46864619840