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72238536253 = 133125782321
BaseRepresentation
bin100001101000111000…
…0001001011000111101
320220110102112212022201
41003101300021120331
52140421031130003
653104054311501
75135065266262
oct1032160113075
9226412485281
1072238536253
11286aa852534
1212000658591
136a7314c510
1436d4045269
151d2bde0b1d
hex10d1c0963d

72238536253 has 12 divisors (see below), whose sum is σ = 80385840444. Its totient is φ = 64530691200.

The previous prime is 72238536247. The next prime is 72238536263. The reversal of 72238536253 is 35263583227.

It can be written as a sum of positive squares in 2 ways, for example, as 21893049369 + 50345486884 = 147963^2 + 224378^2 .

It is not a de Polignac number, because 72238536253 - 29 = 72238535741 is a prime.

It is a super-2 number, since 2×722385362532 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72238536233) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2878668 + ... + 2903653.

It is an arithmetic number, because the mean of its divisors is an integer number (6698820037).

Almost surely, 272238536253 is an apocalyptic number.

It is an amenable number.

72238536253 is a deficient number, since it is larger than the sum of its proper divisors (8147304191).

72238536253 is a wasteful number, since it uses less digits than its factorization.

72238536253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5782396 (or 5782365 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 46.

The spelling of 72238536253 in words is "seventy-two billion, two hundred thirty-eight million, five hundred thirty-six thousand, two hundred fifty-three".

Divisors: 1 13 31 403 961 12493 5782321 75170173 179251951 2330275363 5556810481 72238536253