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46372390608 = 24323293146723
BaseRepresentation
bin101011001100000000…
…101000011011010000
311102200202211112001110
4223030000220123100
51224432312444413
633145253133320
73231102550035
oct531400503320
9142622745043
1046372390608
1118737007465
128ba202a240
1344b0343aab
14235ca3538c
15131617c8c3
hexacc0286d0

46372390608 has 160 divisors (see below), whose sum is σ = 133488599040. Its totient is φ = 13814760960.

The previous prime is 46372390607. The next prime is 46372390661. The reversal of 46372390608 is 80609327364.

It is a super-2 number, since 2×463723906082 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46372390607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 969135 + ... + 1015857.

It is an arithmetic number, because the mean of its divisors is an integer number (834303744).

Almost surely, 246372390608 is an apocalyptic number.

46372390608 is a gapful number since it is divisible by the number (48) 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 46372390608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66744299520).

46372390608 is an abundant number, since it is smaller than the sum of its proper divisors (87116208432).

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

46372390608 is a wasteful number, since it uses less digits than its factorization.

46372390608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46817 (or 46811 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 48.

The spelling of 46372390608 in words is "forty-six billion, three hundred seventy-two million, three hundred ninety thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 29 31 46 48 58 62 69 87 92 93 116 124 138 174 184 186 232 248 276 348 368 372 464 496 552 667 696 713 744 899 1104 1334 1392 1426 1488 1798 2001 2139 2668 2697 2852 3596 4002 4278 5336 5394 5704 7192 8004 8556 10672 10788 11408 14384 16008 17112 20677 21576 32016 34224 41354 43152 46723 62031 82708 93446 124062 140169 165416 186892 248124 280338 330832 373784 496248 560676 747568 992496 1074629 1121352 1354967 1448413 2149258 2242704 2709934 2896826 3223887 4064901 4298516 4345239 5419868 5793652 6447774 8129802 8597032 8690478 10839736 11587304 12895548 16259604 17194064 17380956 21679472 23174608 25791096 31164241 32519208 33313499 34761912 42003977 51582192 62328482 65038416 66626998 69523824 84007954 93492723 99940497 124656964 126011931 133253996 168015908 186985446 199880994 249313928 252023862 266507992 336031816 373970892 399761988 498627856 504047724 533015984 672063632 747941784 799523976 966091471 1008095448 1495883568 1599047952 1932182942 2016190896 2898274413 3864365884 5796548826 7728731768 11593097652 15457463536 23186195304 46372390608