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634463331632 = 241319235768113
BaseRepresentation
bin10010011101110001111…
…01100010010100110000
32020122122211200200211022
421032320331202110300
540343340103103012
61203245103035012
763560410223354
oct11167075422460
92218584620738
10634463331632
11225090012759
12a2b6859ba68
1347aa292ab30
14229cb3b1464
1511785740472
hex93b8f62530

634463331632 has 80 divisors (see below), whose sum is σ = 1394119208160. Its totient is φ = 277295394816.

The previous prime is 634463331617. The next prime is 634463331647. The reversal of 634463331632 is 236133364436.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (634463331617) and next prime (634463331647).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 9280808 + ... + 9348920.

It is an arithmetic number, because the mean of its divisors is an integer number (17426490102).

Almost surely, 2634463331632 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 634463331632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697059604080).

634463331632 is an abundant number, since it is smaller than the sum of its proper divisors (759655876528).

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

634463331632 is a wasteful number, since it uses less digits than its factorization.

634463331632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70510 (or 70504 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 44.

The spelling of 634463331632 in words is "six hundred thirty-four billion, four hundred sixty-three million, three hundred thirty-one thousand, six hundred thirty-two".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 104 152 208 247 304 494 988 1976 2357 3952 4714 9428 18856 30641 37712 44783 61282 68113 89566 122564 136226 179132 245128 272452 358264 490256 544904 582179 716528 885469 1089808 1164358 1294147 1770938 2328716 2588294 3541876 4657432 5176588 7083752 9314864 10353176 14167504 16823911 20706352 33647822 67295644 134591288 160542341 269182576 321084682 642169364 1284338728 2087050433 2568677456 3050304479 4174100866 6100608958 8348201732 12201217916 16696403464 24402435832 33392806928 39653958227 48804871664 79307916454 158615832908 317231665816 634463331632