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72314712567373 = 419718963202661
BaseRepresentation
bin10000011100010100010100…
…110000010010111001001101
3100111001012220122200111202111
4100130110110300102321031
533434301012404123443
6413444530443024021
721142364663565043
oct2034242460227115
9314035818614674
1072314712567373
11210505520048a1
12813b0aab0b011
13314732c1c8233
1413c009d41a393
15856111b1b69d
hex41c514c12e4d

72314712567373 has 16 divisors (see below), whose sum is σ = 74163416346432. Its totient is φ = 70470070096000.

The previous prime is 72314712567367. The next prime is 72314712567511. The reversal of 72314712567373 is 37376521741327.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 72314712567373 - 217 = 72314712436301 is a prime.

It is a super-2 number, since 2×723147125673732 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72314712565373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 356724663 + ... + 356927323.

It is an arithmetic number, because the mean of its divisors is an integer number (4635213521652).

Almost surely, 272314712567373 is an apocalyptic number.

It is an amenable number.

72314712567373 is a deficient number, since it is larger than the sum of its proper divisors (1848703779059).

72314712567373 is a wasteful number, since it uses less digits than its factorization.

72314712567373 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212636.

The product of its digits is 31116960, while the sum is 58.

The spelling of 72314712567373 in words is "seventy-two trillion, three hundred fourteen billion, seven hundred twelve million, five hundred sixty-seven thousand, three hundred seventy-three".

Divisors: 1 41 971 8963 39811 202661 367483 8309101 8703073 196783831 356825993 1816450543 8068137071 74474472263 1763773477253 72314712567373