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93422624768 = 2131123072
BaseRepresentation
bin101011100000001101…
…1000010000000000000
322221010210011001122122
41113000123002000000
53012312142443033
6110530123023412
76515046131264
oct1270033020000
9287123131578
1093422624768
11366906aa800
121613306ab68
138a6ac3a135
1447436b80a4
15266baa2a98
hex15c06c2000

93422624768 has 126 divisors (see below), whose sum is σ = 206033935023. Its totient is φ = 42326507520.

The previous prime is 93422624761. The next prime is 93422624777. The reversal of 93422624768 is 86742622439.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 46711312384 + 46711312384 = 216128^2 + 216128^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=216128.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (93422624761) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 304308071 + ... + 304308377.

Almost surely, 293422624768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93422624768

93422624768 is an abundant number, since it is smaller than the sum of its proper divisors (112611310255).

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

93422624768 is an frugal number, since it uses more digits than its factorization.

93422624768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 320 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 53.

The spelling of 93422624768 in words is "ninety-three billion, four hundred twenty-two million, six hundred twenty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 307 352 484 512 614 704 968 1024 1228 1408 1936 2048 2456 2816 3377 3872 4096 4912 5632 6754 7744 8192 9824 11264 13508 15488 19648 22528 27016 30976 37147 39296 45056 54032 61952 74294 78592 90112 94249 108064 123904 148588 157184 188498 216128 247808 297176 314368 376996 432256 495616 594352 628736 753992 864512 991232 1036739 1188704 1257472 1507984 1729024 2073478 2377408 2514944 3015968 3458048 4146956 4754816 6031936 6916096 8293912 9509632 11404129 12063872 13832192 16587824 19019264 22808258 24127744 27664384 33175648 38038528 45616516 48255488 66351296 76077056 91233032 96510976 132702592 152154112 182466064 193021952 265405184 304308224 364932128 386043904 530810368 729864256 772087808 1061620736 1459728512 2123241472 2919457024 4246482944 5838914048 8492965888 11677828096 23355656192 46711312384 93422624768