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72007149747455 = 5134691923610953
BaseRepresentation
bin10000010111110101111000…
…100101001111110011111111
3100102221211001001222102102222
4100113311320211033303333
533414231120313404310
6413051343344235555
721111226204005626
oct2027657045176377
9312854031872388
1072007149747455
1120a4207389aaaa
1280ab57490bbbb
1331243255b4c70
1413ad243ad26bd
1584d11051c055
hex417d7894fcff

72007149747455 has 16 divisors (see below), whose sum is σ = 93057380781120. Its totient is φ = 53173375004928.

The previous prime is 72007149747451. The next prime is 72007149747497. The reversal of 72007149747455 is 55474794170027.

It is a cyclic number.

It is not a de Polignac number, because 72007149747455 - 22 = 72007149747451 is a prime.

It is a super-2 number, since 2×720071497474552 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72007149747451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8755742 + ... + 14855211.

It is an arithmetic number, because the mean of its divisors is an integer number (5816086298820).

Almost surely, 272007149747455 is an apocalyptic number.

72007149747455 is a deficient number, since it is larger than the sum of its proper divisors (21050231033665).

72007149747455 is a wasteful number, since it uses less digits than its factorization.

72007149747455 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23657890.

The product of its (nonzero) digits is 69148800, while the sum is 62.

The spelling of 72007149747455 in words is "seventy-two trillion, seven billion, one hundred forty-nine million, seven hundred forty-seven thousand, four hundred fifty-five".

Divisors: 1 5 13 65 46919 234595 609947 3049735 23610953 118054765 306942389 1534711945 1107802303807 5539011519035 14401429949491 72007149747455