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630788560128 = 28363379997
BaseRepresentation
bin10010010110111011110…
…11011001010100000000
32020022011201221222000000
421023131323121110000
540313323332411003
61201440312000000
763400346202666
oct11133573312400
92208151858000
10630788560128
11223574774511
12a2301990000
13476384cb41c
142275d31ac36
151161cd0e1a3
hex92dded9500

630788560128 has 126 divisors (see below), whose sum is σ = 1887806622954. Its totient is φ = 210262791168.

The previous prime is 630788560117. The next prime is 630788560147. The reversal of 630788560128 is 821065887036.

630788560128 is a `hidden beast` number, since 6 + 3 + 0 + 7 + 8 + 8 + 5 + 601 + 28 = 666.

It can be written as a sum of positive squares in only one way, i.e., 614104187904 + 16684372224 = 783648^2 + 129168^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 13 ways as a sum of consecutive naturals, for example, 1503375 + ... + 1876622.

Almost surely, 2630788560128 is an apocalyptic number.

It is an amenable number.

630788560128 is an abundant number, since it is smaller than the sum of its proper divisors (1257018062826).

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

630788560128 is an frugal number, since it uses more digits than its factorization.

630788560128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3380031 (or 3380002 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 630788560128 in words is "six hundred thirty billion, seven hundred eighty-eight million, five hundred sixty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 576 648 729 768 864 972 1152 1296 1458 1728 1944 2304 2592 2916 3456 3888 5184 5832 6912 7776 10368 11664 15552 20736 23328 31104 46656 62208 93312 186624 3379997 6759994 10139991 13519988 20279982 27039976 30419973 40559964 54079952 60839946 81119928 91259919 108159904 121679892 162239856 182519838 216319808 243359784 273779757 324479712 365039676 432639616 486719568 547559514 648959424 730079352 821339271 865279232 973439136 1095119028 1297918848 1460158704 1642678542 1946878272 2190238056 2464017813 2595837696 2920317408 3285357084 3893756544 4380476112 4928035626 5840634816 6570714168 7787513088 8760952224 9856071252 11681269632 13141428336 17521904448 19712142504 23362539264 26282856672 35043808896 39424285008 52565713344 70087617792 78848570016 105131426688 157697140032 210262853376 315394280064 630788560128