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92298701952 = 273289512
BaseRepresentation
bin101010111110101101…
…1100110110010000000
322211020110021212101200
41111331123212302000
53003011431430302
6110222413301200
76445151010342
oct1257533466200
9284213255350
1092298701952
1136164235976
1215a7a794800
13891c131652
14467830d292
15260309381c
hex157d6e6c80

92298701952 has 72 divisors (see below), whose sum is σ = 265628805195. Its totient is φ = 30762796800.

The previous prime is 92298701951. The next prime is 92298702011. The reversal of 92298701952 is 25910789229.

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., 46149350976 + 46149350976 = 214824^2 + 214824^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=214824.

It is a super-2 number, since 2×922987019522 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (92298701951) 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 8 ways as a sum of consecutive naturals, for example, 10307077 + ... + 10316027.

Almost surely, 292298701952 is an apocalyptic number.

It is an amenable number.

92298701952 is an abundant number, since it is smaller than the sum of its proper divisors (173330103243).

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

92298701952 is an frugal number, since it uses more digits than its factorization.

92298701952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17922 (or 8956 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 92298701952 in words is "ninety-two billion, two hundred ninety-eight million, seven hundred one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 8951 17902 26853 35804 53706 71608 80559 107412 143216 161118 214824 286432 322236 429648 572864 644472 859296 1145728 1288944 1718592 2577888 3437184 5155776 10311552 80120401 160240802 240361203 320481604 480722406 640963208 721083609 961444812 1281926416 1442167218 1922889624 2563852832 2884334436 3845779248 5127705664 5768668872 7691558496 10255411328 11537337744 15383116992 23074675488 30766233984 46149350976 92298701952