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72417150311357 = 2413171405767433
BaseRepresentation
bin10000011101110011101110…
…100001010001101110111101
3100111102000022201101002002102
4100131303232201101232331
533442440310434430412
6414003551331234445
721152652331210625
oct2035635641215675
9314360281332072
1072417150311357
112108aa39492045
128156b19148a25
133153ba5a7a327
1413c501a123885
15858b09d858c2
hex41dcee851bbd

72417150311357 has 16 divisors (see below), whose sum is σ = 72953300808432. Its totient is φ = 71882986721280.

The previous prime is 72417150311353. The next prime is 72417150311371. The reversal of 72417150311357 is 75311305171427.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 8638302931801 + 63778847379556 = 2939099^2 + 7986166^2 .

It is a cyclic number.

It is not a de Polignac number, because 72417150311357 - 22 = 72417150311353 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 (72417150311353) 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, 1073878913 + ... + 1073946345.

It is an arithmetic number, because the mean of its divisors is an integer number (4559581300527).

Almost surely, 272417150311357 is an apocalyptic number.

It is an amenable number.

72417150311357 is a deficient number, since it is larger than the sum of its proper divisors (536150497075).

72417150311357 is a wasteful number, since it uses less digits than its factorization.

72417150311357 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82048.

The product of its (nonzero) digits is 617400, while the sum is 47.

The spelling of 72417150311357 in words is "seventy-two trillion, four hundred seventeen billion, one hundred fifty million, three hundred eleven thousand, three hundred fifty-seven".

Divisors: 1 241 317 14057 67433 76397 3387737 4456069 16251353 21376261 947905681 1073912629 5151678901 228445269121 300486100877 72417150311357