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830757922002 = 23419237692
BaseRepresentation
bin11000001011011010000…
…01111110010011010010
32221102022221121001220000
430011231001332103102
5102102343012001002
61433351145230430
7114006645553011
oct14055501762322
92842287531800
10830757922002
112a0360209848
1211500b192416
1360456381018
142c2cd304a78
151692373061c
hexc16d07e4d2

830757922002 has 90 divisors (see below), whose sum is σ = 1965165444693. Its totient is φ = 262275001056.

The previous prime is 830757921943. The next prime is 830757922009. The reversal of 830757922002 is 200229757038.

830757922002 is a `hidden beast` number, since 8 + 307 + 57 + 92 + 200 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 728395678521 + 102362243481 = 853461^2 + 319941^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=644499.

It is a super-2 number, since 2×8307579220022 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (830757922009) 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 44 ways as a sum of consecutive naturals, for example, 220416774 + ... + 220420542.

Almost surely, 2830757922002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 830757922002

830757922002 is an abundant number, since it is smaller than the sum of its proper divisors (1134407522691).

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

830757922002 is an frugal number, since it uses more digits than its factorization.

830757922002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7590 (or 3793 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 830757922002 in words is "eight hundred thirty billion, seven hundred fifty-seven million, nine hundred twenty-two thousand, two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 342 361 513 722 1026 1083 1539 2166 3078 3249 3769 6498 7538 9747 11307 19494 22614 29241 33921 58482 67842 71611 101763 143222 203526 214833 305289 429666 610578 644499 1288998 1360609 1933497 2721218 3866994 4081827 5800491 8163654 11600982 12245481 14205361 24490962 28410722 36736443 42616083 73472886 85232166 110209329 127848249 220418658 255696498 269901859 383544747 539803718 767089494 809705577 1150634241 1619411154 2301268482 2429116731 4858233462 5128135321 7287350193 10256270642 14574700386 15384405963 21862050579 30768811926 43724101158 46153217889 92306435778 138459653667 276919307334 415378961001 830757922002