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66740747472 = 2433748745319
BaseRepresentation
bin111110001010000011…
…101111110011010000
320101021021111020221000
4332022003233303100
52043141112404342
650354341502000
74551616664460
oct761203576320
9211237436830
1066740747472
1126339459443
1210b27411900
1363a8131169
143331c05ba0
151b0940b44c
hexf8a0efcd0

66740747472 has 160 divisors (see below), whose sum is σ = 219392307200. Its totient is φ = 19029209472.

The previous prime is 66740747443. The next prime is 66740747477. The reversal of 66740747472 is 27474704766.

It is a happy number.

66740747472 is a `hidden beast` number, since 6 + 67 + 40 + 7 + 474 + 72 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66740747477) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1450029 + ... + 1495347.

It is an arithmetic number, because the mean of its divisors is an integer number (1371201920).

Almost surely, 266740747472 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 66740747472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109696153600).

66740747472 is an abundant number, since it is smaller than the sum of its proper divisors (152651559728).

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

66740747472 is a wasteful number, since it uses less digits than its factorization.

66740747472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45830 (or 45818 counting only the distinct ones).

The product of its (nonzero) digits is 11063808, while the sum is 54.

The spelling of 66740747472 in words is "sixty-six billion, seven hundred forty million, seven hundred forty-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 487 504 756 974 1008 1461 1512 1948 2922 3024 3409 3896 4383 5844 6818 7792 8766 10227 11688 13149 13636 17532 20454 23376 26298 27272 30681 35064 40908 45319 52596 54544 61362 70128 81816 90638 92043 105192 122724 135957 163632 181276 184086 210384 245448 271914 317233 362552 368172 407871 490896 543828 634466 725104 736344 815742 951699 1087656 1223613 1268932 1472688 1631484 1903398 2175312 2447226 2537864 2855097 3262968 3806796 4894452 5075728 5710194 6525936 7613592 8565291 9788904 11420388 15227184 17130582 19577808 22070353 22840776 34261164 44140706 45681552 66211059 68522328 88281412 132422118 137044656 154492471 176562824 198633177 264844236 308984942 353125648 397266354 463477413 529688472 595899531 617969884 794532708 926954826 1059376944 1191799062 1235939768 1390432239 1589065416 1853909652 2383598124 2471879536 2780864478 3178130832 3707819304 4171296717 4767196248 5561728956 7415638608 8342593434 9534392496 11123457912 16685186868 22246915824 33370373736 66740747472