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73262248900 = 2252270672
BaseRepresentation
bin100010000111011000…
…1010011001111000100
321000002202211212001221
41010032301103033010
52200020113431100
653353424130124
75202335561251
oct1041661231704
9230082755057
1073262248900
11290856a1a45
1212247466944
136ba726c949
14378dda6428
151d8bc0801a
hex110ec533c4

73262248900 has 27 divisors (see below), whose sum is σ = 158984953869. Its totient is φ = 29303816880.

The previous prime is 73262248883. The next prime is 73262248957. The reversal of 73262248900 is 984226237.

The square root of 73262248900 is 270670.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 26374409604 + 46887839296 = 162402^2 + 216536^2 .

It is a super-2 number, since 2×732622489002 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2693167 + ... + 2720233.

Almost surely, 273262248900 is an apocalyptic number.

73262248900 is the 270670-th square number.

It is an amenable number.

73262248900 is an abundant number, since it is smaller than the sum of its proper divisors (85722704969).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

73262248900 is an frugal number, since it uses more digits than its factorization.

73262248900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54148 (or 27074 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 43.

The spelling of 73262248900 in words is "seventy-three billion, two hundred sixty-two million, two hundred forty-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 27067 54134 108268 135335 270670 541340 676675 1353350 2706700 732622489 1465244978 2930489956 3663112445 7326224890 14652449780 18315562225 36631124450 73262248900