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72371374145677 = 297738533784777
BaseRepresentation
bin10000011101001001000110…
…000011000100000010001101
3100111020122011111102220212201
4100131021012003010002031
533441213033240130202
6413530541133201501
721146442055214635
oct2035110603040215
9314218144386781
1072371374145677
1121072588a95262
12814a082930291
13314c78c10ca69
1413c2b167716c5
1585782b22c387
hex41d2460c408d

72371374145677 has 16 divisors (see below), whose sum is σ = 75051693566640. Its totient is φ = 69703583749632.

The previous prime is 72371374145599. The next prime is 72371374145737. The reversal of 72371374145677 is 77654147317327.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 28907601743241 + 43463772402436 = 5376579^2 + 6592706^2 .

It is a cyclic number.

It is not a de Polignac number, because 72371374145677 - 215 = 72371374112909 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72371374145377) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17229313 + ... + 21014089.

It is an arithmetic number, because the mean of its divisors is an integer number (4690730847915).

Almost surely, 272371374145677 is an apocalyptic number.

It is an amenable number.

72371374145677 is a deficient number, since it is larger than the sum of its proper divisors (2680319420963).

72371374145677 is a wasteful number, since it uses less digits than its factorization.

72371374145677 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3786432.

The product of its digits is 145212480, while the sum is 64.

The spelling of 72371374145677 in words is "seventy-two trillion, three hundred seventy-one billion, three hundred seventy-four million, one hundred forty-five thousand, six hundred seventy-seven".

Divisors: 1 29 773 853 22417 24737 659369 3784777 19121701 109758533 2925632621 3228414781 84843346009 93624028649 2495564625713 72371374145677