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72773780456 = 23134214573637
BaseRepresentation
bin100001111000110100…
…1111100001111101000
320221211201201002100002
41003301221330033220
52143020041433311
653233134402132
75154254633066
oct1036151741750
9227751632302
1072773780456
11289549a1413
121212b960348
136b29cc4570
143745173036
151d5ddbb93b
hex10f1a7c3e8

72773780456 has 64 divisors (see below), whose sum is σ = 147658998480. Its totient is φ = 33425602560.

The previous prime is 72773780399. The next prime is 72773780459. The reversal of 72773780456 is 65408737727.

It can be written as a sum of positive squares in 8 ways, for example, as 1145822500 + 71627957956 = 33850^2 + 267634^2 .

It is not an unprimeable number, because it can be changed into a prime (72773780459) 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, 20007470 + ... + 20011106.

Almost surely, 272773780456 is an apocalyptic number.

It is an amenable number.

72773780456 is an abundant number, since it is smaller than the sum of its proper divisors (74885218024).

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

72773780456 is a wasteful number, since it uses less digits than its factorization.

72773780456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4534 (or 4530 counting only the distinct ones).

The product of its (nonzero) digits is 13829760, while the sum is 56.

The spelling of 72773780456 in words is "seventy-two billion, seven hundred seventy-three million, seven hundred eighty thousand, four hundred fifty-six".

Divisors: 1 2 4 8 13 26 52 104 421 457 842 914 1684 1828 3368 3637 3656 5473 5941 7274 10946 11882 14548 21892 23764 29096 43784 47281 47528 94562 189124 192397 378248 384794 769588 1531177 1539176 1662109 2501161 3062354 3324218 5002322 6124708 6648436 10004644 12249416 13296872 19905301 20009288 21607417 39810602 43214834 79621204 86429668 159242408 172859336 699747889 1399495778 2798991556 5597983112 9096722557 18193445114 36386890228 72773780456