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634152021228 = 22321153107282383
BaseRepresentation
bin10010011101001100110…
…01111110110011101100
32020121212010220111020100
421032212121332303230
540342220404134403
61203154142351100
763546610146015
oct11164631766354
92217763814210
10634152021228
11224a40313630
12a2aa028b490
1347a5329cbab
142299bcd600c
151176824a2a3
hex93a667ecec

634152021228 has 144 divisors (see below), whose sum is σ = 1798374928896. Its totient is φ = 186778750080.

The previous prime is 634152021227. The next prime is 634152021257. The reversal of 634152021228 is 822120251436.

634152021228 is a `hidden beast` number, since 6 + 3 + 4 + 1 + 520 + 2 + 122 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 634152021192 and 634152021201.

It is not an unprimeable number, because it can be changed into a prime (634152021227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2104525 + ... + 2386907.

It is an arithmetic number, because the mean of its divisors is an integer number (12488714784).

Almost surely, 2634152021228 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 634152021228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899187464448).

634152021228 is an abundant number, since it is smaller than the sum of its proper divisors (1164222907668).

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

634152021228 is a wasteful number, since it uses less digits than its factorization.

634152021228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282564 (or 282559 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 634152021228 in words is "six hundred thirty-four billion, one hundred fifty-two million, twenty-one thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 53 66 99 106 107 132 159 198 212 214 318 321 396 428 477 583 636 642 954 963 1166 1177 1284 1749 1908 1926 2332 2354 3498 3531 3852 4708 5247 5671 6996 7062 10494 10593 11342 14124 17013 20988 21186 22684 34026 42372 51039 62381 68052 102078 124762 187143 204156 249524 282383 374286 561429 564766 748572 847149 1122858 1129532 1694298 2245716 2541447 3106213 3388596 5082894 6212426 9318639 10165788 12424852 14966299 18637278 27955917 29932598 30214981 37274556 44898897 55911834 59865196 60429962 89797794 90644943 111823668 120859924 134696691 164629289 179595588 181289886 269393382 271934829 329258578 332364791 362579772 493887867 538786764 543869658 658517156 664729582 987775734 997094373 1087739316 1329459164 1481663601 1601393993 1975551468 1994188746 2963327202 2991283119 3202787986 3988377492 4804181979 5926654404 5982566238 6405575972 9608363958 11965132476 14412545937 17615333923 19216727916 28825091874 35230667846 52846001769 57650183748 70461335692 105692003538 158538005307 211384007076 317076010614 634152021228