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64213884432 = 24331911369233
BaseRepresentation
bin111011110011011100…
…100001111000010000
320010202011202022111000
4323303130201320100
52023002223300212
645255514222000
74432165004025
oct736334417020
9203664668430
1064213884432
1125262077885
1210541124900
136094787829
1431723a154c
151a0c6761dc
hexef3721e10

64213884432 has 160 divisors (see below), whose sum is σ = 195738364800. Its totient is φ = 20098326528.

The previous prime is 64213884431. The next prime is 64213884487. The reversal of 64213884432 is 23448831246.

It is a happy number.

64213884432 is a `hidden beast` number, since 6 + 4 + 2 + 138 + 84 + 432 = 666.

64213884432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (64213884431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 892888 + ... + 962120.

It is an arithmetic number, because the mean of its divisors is an integer number (1223364780).

Almost surely, 264213884432 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 64213884432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97869182400).

64213884432 is an abundant number, since it is smaller than the sum of its proper divisors (131524480368).

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

64213884432 is a wasteful number, since it uses less digits than its factorization.

64213884432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69382 (or 69370 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The spelling of 64213884432 in words is "sixty-four billion, two hundred thirteen million, eight hundred eighty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 113 114 144 152 171 216 226 228 304 339 342 432 452 456 513 678 684 904 912 1017 1026 1356 1368 1808 2034 2052 2147 2712 2736 3051 4068 4104 4294 5424 6102 6441 8136 8208 8588 12204 12882 16272 17176 19323 24408 25764 34352 38646 48816 51528 57969 69233 77292 103056 115938 138466 154584 207699 231876 276932 309168 415398 463752 553864 623097 830796 927504 1107728 1246194 1315427 1661592 1869291 2492388 2630854 3323184 3738582 3946281 4984776 5261708 7477164 7823329 7892562 9969552 10523416 11838843 14954328 15646658 15785124 21046832 23469987 23677686 29908656 31293316 31570248 35516529 46939974 47355372 62586632 63140496 70409961 71033058 93879948 94710744 125173264 140819922 142066116 148643251 187759896 189421488 211229883 281639844 284132232 297286502 375519792 422459766 445929753 563279688 568264464 594573004 844919532 891859506 1126559376 1189146008 1337789259 1689839064 1783719012 2378292016 2675578518 3379678128 3567438024 4013367777 5351157036 7134876048 8026735554 10702314072 16053471108 21404628144 32106942216 64213884432