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4906645632 = 2734767607
BaseRepresentation
bin1001001000111010…
…10111100010000000
3110122221201102110000
410210131113202000
540022100130012
62130514240000
7232406541210
oct44435274200
913587642400
104906645632
112098745539
12b4b286000
13602703c15
14347920240
151dab65ddc
hex124757880

4906645632 has 160 divisors (see below), whose sum is σ = 16688358720. Its totient is φ = 1401878016.

The previous prime is 4906645619. The next prime is 4906645649. The reversal of 4906645632 is 2365466094.

4906645632 is a `hidden beast` number, since 4 + 9 + 0 + 6 + 6 + 4 + 5 + 632 = 666.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 38773 + ... + 106379.

It is an arithmetic number, because the mean of its divisors is an integer number (104302242).

Almost surely, 24906645632 is an apocalyptic number.

4906645632 is a gapful number since it is divisible by the number (42) 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 4906645632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8344179360).

4906645632 is an abundant number, since it is smaller than the sum of its proper divisors (11781713088).

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

4906645632 is an equidigital number, since it uses as much as digits as its factorization.

4906645632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67640 (or 67619 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The square root of 4906645632 is about 70047.4527159982. The cubic root of 4906645632 is about 1699.2667693767.

The spelling of 4906645632 in words is "four billion, nine hundred six million, six hundred forty-five thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 128 144 162 168 189 192 216 224 252 288 324 336 378 384 432 448 504 567 576 648 672 756 864 896 1008 1134 1152 1296 1344 1512 1728 2016 2268 2592 2688 3024 3456 4032 4536 5184 6048 8064 9072 10368 12096 18144 24192 36288 67607 72576 135214 202821 270428 405642 473249 540856 608463 811284 946498 1081712 1216926 1419747 1622568 1825389 1892996 2163424 2433852 2839494 3245136 3650778 3785992 4259241 4326848 4867704 5476167 5678988 6490272 7301556 7571984 8518482 8653696 9735408 10952334 11357976 12777723 12980544 14603112 15143968 17036964 19470816 21904668 22715952 25555446 25961088 29206224 30287936 34073928 38333169 38941632 43809336 45431904 51110892 58412448 60575872 68147856 76666338 77883264 87618672 90863808 102221784 116824896 136295712 153332676 175237344 181727616 204443568 233649792 272591424 306665352 350474688 408887136 545182848 613330704 700949376 817774272 1226661408 1635548544 2453322816 4906645632