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70725485353968 = 24322917397896991
BaseRepresentation
bin10000000101001100001111…
…011011100101101111110000
3100021102021211200022021211100
4100011030033123211233300
533232231243222311333
6410230501152244400
720616514313265054
oct2005141733455760
9307367750267740
1070725485353968
1120598567744425
127b230a5b40700
133060500104a43
1413671bb775c64
15829aeb194213
hex40530f6e5bf0

70725485353968 has 120 divisors (see below), whose sum is σ = 205941986190720. Its totient is φ = 22630651384320.

The previous prime is 70725485353921. The next prime is 70725485354003. The reversal of 70725485353968 is 86935358452707.

70725485353968 is a `hidden beast` number, since 7 + 0 + 7 + 2 + 5 + 4 + 85 + 3 + 539 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 70725485353896 and 70725485353905.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 48226048 + ... + 49670943.

It is an arithmetic number, because the mean of its divisors is an integer number (1716183218256).

Almost surely, 270725485353968 is an apocalyptic number.

It is an amenable number.

70725485353968 is an abundant number, since it is smaller than the sum of its proper divisors (135216500836752).

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

70725485353968 is a wasteful number, since it uses less digits than its factorization.

70725485353968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97897207 (or 97897198 counting only the distinct ones).

The product of its (nonzero) digits is 1524096000, while the sum is 72.

The spelling of 70725485353968 in words is "seventy trillion, seven hundred twenty-five billion, four hundred eighty-five million, three hundred fifty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 173 174 232 261 346 348 464 519 522 692 696 1038 1044 1384 1392 1557 2076 2088 2768 3114 4152 4176 5017 6228 8304 10034 12456 15051 20068 24912 30102 40136 45153 60204 80272 90306 120408 180612 240816 361224 722448 97896991 195793982 293690973 391587964 587381946 783175928 881072919 1174763892 1566351856 1762145838 2349527784 2839012739 3524291676 4699055568 5678025478 7048583352 8517038217 11356050956 14097166704 16936179443 17034076434 22712101912 25551114651 33872358886 34068152868 45424203824 50808538329 51102229302 67744717772 68136305736 101617076658 102204458604 135489435544 136272611472 152425614987 203234153316 204408917208 270978871088 304851229974 406468306632 408817834416 491149203847 609702459948 812936613264 982298407694 1219404919896 1473447611541 1964596815388 2438809839792 2946895223082 3929193630776 4420342834623 5893790446164 7858387261552 8840685669246 11787580892328 17681371338492 23575161784656 35362742676984 70725485353968