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72416170316645 = 56779173153110331
BaseRepresentation
bin10000011101110010110100…
…000110111001001101100101
3100111101220210102100012001222
4100131302310012321031211
533442431304100113040
6414003310202430125
721152616131330321
oct2035626406711545
9314356712305058
1072416170316645
112108a586292561
1281568a4b02345
133153a7aa25abc
1413c4d65d02981
15858a9dd06bb5
hex41dcb41b9365

72416170316645 has 64 divisors (see below), whose sum is σ = 89896454000640. Its totient is φ = 55978174137600.

The previous prime is 72416170316549. The next prime is 72416170316647. The reversal of 72416170316645 is 54661307161427.

It is a de Polignac number, because none of the positive numbers 2k-72416170316645 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72416170316647) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 7009594130 + ... + 7009604460.

It is an arithmetic number, because the mean of its divisors is an integer number (1404632093760).

Almost surely, 272416170316645 is an apocalyptic number.

It is an amenable number.

72416170316645 is a deficient number, since it is larger than the sum of its proper divisors (17480283683995).

72416170316645 is a wasteful number, since it uses less digits than its factorization.

72416170316645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12186.

The product of its (nonzero) digits is 5080320, while the sum is 53.

The spelling of 72416170316645 in words is "seventy-two trillion, four hundred sixteen billion, one hundred seventy million, three hundred sixteen thousand, six hundred forty-five".

Divisors: 1 5 67 79 173 335 395 865 1531 5293 7655 10331 11591 13667 26465 51655 57955 68335 102577 120949 264863 512885 604745 692177 816149 915689 1324315 1787263 3460885 4080745 4578445 8103583 8936315 15816761 17745821 20924177 40517915 54681983 79083805 88729105 104620885 119746621 141193777 273409915 598733105 705968885 1059722987 1249524119 1401919859 2736299653 5298614935 6247620595 7009599295 9459983059 13681498265 47299915295 83718115973 183332076751 216167672587 418590579865 916660383755 1080838362935 14483234063329 72416170316645