Search a number
-
+
80888307456 = 2831171134857
BaseRepresentation
bin100101101010101010…
…0011001111100000000
321201210020121202202010
41023111110121330000
52311124401314311
6101054245052520
75562326161155
oct1132524317400
9251706552663
1080888307456
1131339382680
12138153b7140
137821196428
143cb4b3022c
15218648ada6
hex12d5519f00

80888307456 has 144 divisors (see below), whose sum is σ = 238161385728. Its totient is φ = 24166195200.

The previous prime is 80888307421. The next prime is 80888307463. The reversal of 80888307456 is 65470388808.

It is a happy number.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 80888307396 and 80888307405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 532380 + ... + 667236.

It is an arithmetic number, because the mean of its divisors is an integer number (1653898512).

Almost surely, 280888307456 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 80888307456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119080692864).

80888307456 is an abundant number, since it is smaller than the sum of its proper divisors (157273078272).

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

80888307456 is a wasteful number, since it uses less digits than its factorization.

80888307456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134958 (or 134944 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 57.

The spelling of 80888307456 in words is "eighty billion, eight hundred eighty-eight million, three hundred seven thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 71 88 96 128 132 142 176 192 213 256 264 284 352 384 426 528 568 704 768 781 852 1056 1136 1408 1562 1704 2112 2272 2343 2816 3124 3408 4224 4544 4686 6248 6816 8448 9088 9372 12496 13632 18176 18744 24992 27264 37488 49984 54528 74976 99968 134857 149952 199936 269714 299904 404571 539428 599808 809142 1078856 1483427 1618284 2157712 2966854 3236568 4315424 4450281 5933708 6473136 8630848 8900562 9574847 11867416 12946272 17261696 17801124 19149694 23734832 25892544 28724541 34523392 35602248 38299388 47469664 51785088 57449082 71204496 76598776 94939328 103570176 105323317 114898164 142408992 153197552 189878656 210646634 229796328 284817984 306395104 315969951 379757312 421293268 459592656 569635968 612790208 631939902 842586536 919185312 1139271936 1225580416 1263879804 1685173072 1838370624 2451160832 2527759608 3370346144 3676741248 5055519216 6740692288 7353482496 10111038432 13481384576 20222076864 26962769152 40444153728 80888307456