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65720896128 = 273435317957
BaseRepresentation
bin111101001101010001…
…010100101010000000
320021122012110102220000
4331031101110222000
52034044022134003
650105230520000
74514424254106
oct751521245200
9207565412800
1065720896128
1125965806a98
12108a1966000
136274a63424
1432765abc76
151a99b081a3
hexf4d454a80

65720896128 has 160 divisors (see below), whose sum is σ = 196149307860. Its totient is φ = 21843689472.

The previous prime is 65720896123. The next prime is 65720896147. The reversal of 65720896128 is 82169802756.

65720896128 is a `hidden beast` number, since 6 + 572 + 0 + 8 + 9 + 61 + 2 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 58490455104 + 7230441024 = 241848^2 + 85032^2 .

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

It is not an unprimeable number, because it can be changed into a prime (65720896123) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3650926 + ... + 3668882.

Almost surely, 265720896128 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 65720896128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98074653930).

65720896128 is an abundant number, since it is smaller than the sum of its proper divisors (130428411732).

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

65720896128 is a wasteful number, since it uses less digits than its factorization.

65720896128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18336 (or 18315 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 65720896128 in words is "sixty-five billion, seven hundred twenty million, eight hundred ninety-six 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 96 108 128 144 162 192 216 288 324 353 384 432 576 648 706 864 1059 1152 1296 1412 1728 2118 2592 2824 3177 3456 4236 5184 5648 6354 8472 9531 10368 11296 12708 16944 17957 19062 22592 25416 28593 33888 35914 38124 45184 50832 53871 57186 67776 71828 76248 101664 107742 114372 135552 143656 152496 161613 203328 215484 228744 287312 304992 323226 406656 430968 457488 484839 574624 609984 646452 861936 914976 969678 1149248 1219968 1292904 1454517 1723872 1829952 1939356 2298496 2585808 2909034 3447744 3659904 3878712 5171616 5818068 6338821 6895488 7757424 10343232 11636136 12677642 15514848 19016463 20686464 23272272 25355284 31029696 38032926 46544544 50710568 57049389 62059392 76065852 93089088 101421136 114098778 152131704 171148167 186178176 202842272 228197556 304263408 342296334 405684544 456395112 513444501 608526816 684592668 811369088 912790224 1026889002 1217053632 1369185336 1825580448 2053778004 2434107264 2738370672 3651160896 4107556008 5476741344 7302321792 8215112016 10953482688 16430224032 21906965376 32860448064 65720896128