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46369634920 = 2357316012111
BaseRepresentation
bin101011001011110110…
…000111101001101000
311102200120122111221221
4223023312013221220
51224431111304140
633145114111424
73231040252000
oct531366075150
9142616574857
1046369634920
11187354a5034
128ba111b574
1344ac8ba6cb
14235c519000
151315cd614a
hexacbd87a68

46369634920 has 128 divisors (see below), whose sum is σ = 121803264000. Its totient is φ = 15880704000.

The previous prime is 46369634917. The next prime is 46369634923. The reversal of 46369634920 is 2943696364.

It is an interprime number because it is at equal distance from previous prime (46369634917) and next prime (46369634923).

It is a super-2 number, since 2×463696349202 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (46369634923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21964665 + ... + 21966775.

It is an arithmetic number, because the mean of its divisors is an integer number (951588000).

Almost surely, 246369634920 is an apocalyptic number.

46369634920 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 46369634920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60901632000).

46369634920 is an abundant number, since it is smaller than the sum of its proper divisors (75433629080).

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

46369634920 is a wasteful number, since it uses less digits than its factorization.

46369634920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3744 (or 3726 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 52.

The spelling of 46369634920 in words is "forty-six billion, three hundred sixty-nine million, six hundred thirty-four thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 343 392 490 686 980 1372 1601 1715 1960 2111 2744 3202 3430 4222 6404 6860 8005 8444 10555 11207 12808 13720 14777 16010 16888 21110 22414 29554 32020 42220 44828 56035 59108 64040 73885 78449 84440 89656 103439 112070 118216 147770 156898 206878 224140 295540 313796 392245 413756 448280 517195 549143 591080 627592 724073 784490 827512 1034390 1098286 1448146 1568980 2068780 2196572 2745715 2896292 3137960 3379711 3620365 4137560 4393144 5491430 5792584 6759422 7240730 10982860 13518844 14481460 16898555 21965720 23657977 27037688 28962920 33797110 47315954 67594220 94631908 118289885 135188440 165605839 189263816 236579770 331211678 473159540 662423356 828029195 946319080 1159240873 1324846712 1656058390 2318481746 3312116780 4636963492 5796204365 6624233560 9273926984 11592408730 23184817460 46369634920