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77230001880 = 23335157455473
BaseRepresentation
bin100011111101101000…
…1000100111011011000
321101100021212120221000
41013323101010323120
52231131340030010
655251242545000
75402555120223
oct1077321047330
9241307776830
1077230001880
112a831360539
1212b74208160
13738a2b0685
143a48d245ba
15202020d7c0
hex11fb444ed8

77230001880 has 128 divisors (see below), whose sum is σ = 259073611200. Its totient is φ = 20463446016.

The previous prime is 77230001831. The next prime is 77230001881. The reversal of 77230001880 is 8810003277.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77230001881) 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 31 ways as a sum of consecutive naturals, for example, 58177 + ... + 397296.

Almost surely, 277230001880 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 77230001880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129536805600).

77230001880 is an abundant number, since it is smaller than the sum of its proper divisors (181843609320).

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

77230001880 is a wasteful number, since it uses less digits than its factorization.

77230001880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455650 (or 455640 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 77230001880 in words is "seventy-seven billion, two hundred thirty million, one thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 157 180 216 270 314 360 471 540 628 785 942 1080 1256 1413 1570 1884 2355 2826 3140 3768 4239 4710 5652 6280 7065 8478 9420 11304 14130 16956 18840 21195 28260 33912 42390 56520 84780 169560 455473 910946 1366419 1821892 2277365 2732838 3643784 4099257 4554730 5465676 6832095 8198514 9109460 10931352 12297771 13664190 16397028 18218920 20496285 24595542 27328380 32794056 40992570 49191084 54656760 61488855 71509261 81985140 98382168 122977710 143018522 163970280 214527783 245955420 286037044 357546305 429055566 491910840 572074088 643583349 715092610 858111132 1072638915 1287166698 1430185220 1716222264 1930750047 2145277830 2574333396 2860370440 3217916745 3861500094 4290555660 5148666792 6435833490 7723000188 8581111320 9653750235 12871666980 15446000376 19307500470 25743333960 38615000940 77230001880