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72630352401 = 3131424143577
BaseRepresentation
bin100001110100100011…
…0110011101000010001
320221110201211012000220
41003221012303220101
52142221332234101
653211012303253
75150563544355
oct1035106635021
9227421735026
1072630352401
1128890a38832
12120ab911b29
136b06386aa9
1437300b9465
151d514d9636
hex10e91b3a11

72630352401 has 16 divisors (see below), whose sum is σ = 97604958528. Its totient is φ = 48038182400.

The previous prime is 72630352397. The next prime is 72630352411. The reversal of 72630352401 is 10425303627.

It is a cyclic number.

It is not a de Polignac number, because 72630352401 - 22 = 72630352397 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72630352411) 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, 1644925 + ... + 1688501.

It is an arithmetic number, because the mean of its divisors is an integer number (6100309908).

Almost surely, 272630352401 is an apocalyptic number.

It is an amenable number.

72630352401 is a deficient number, since it is larger than the sum of its proper divisors (24974606127).

72630352401 is a wasteful number, since it uses less digits than its factorization.

72630352401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47952.

The product of its (nonzero) digits is 30240, while the sum is 33.

The spelling of 72630352401 in words is "seventy-two billion, six hundred thirty million, three hundred fifty-two thousand, four hundred one".

Divisors: 1 3 131 393 4241 12723 43577 130731 555571 1666713 5708587 17125761 184810057 554430171 24210117467 72630352401