Search a number
-
+
842588922368 = 2911323592
BaseRepresentation
bin11000100001011100011…
…01101010001000000000
32222112212110201011022202
430100232031222020000
5102301110231003433
61443025140452332
7114606065445314
oct14205615521000
92875773634282
10842588922368
112a53815314a6
121173713aa0a8
13615c04c395b
142cad26cdb44
1516db721bee8
hexc42e36a200

842588922368 has 90 divisors (see below), whose sum is σ = 1703307074469. Its totient is φ = 416403054592.

The previous prime is 842588922359. The next prime is 842588922419. The reversal of 842588922368 is 863229885248.

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 2 ways, for example, as 532152742144 + 310436180224 = 729488^2 + 557168^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=649072.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2347044173 + ... + 2347044531.

Almost surely, 2842588922368 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 842588922368

842588922368 is an abundant number, since it is smaller than the sum of its proper divisors (860718152101).

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

842588922368 is an frugal number, since it uses more digits than its factorization.

842588922368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962 (or 474 counting only the distinct ones).

The product of its digits is 106168320, while the sum is 65.

The spelling of 842588922368 in words is "eight hundred forty-two billion, five hundred eighty-eight million, nine hundred twenty-two thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 113 128 226 256 359 452 512 718 904 1436 1808 2872 3616 5744 7232 11488 12769 14464 22976 25538 28928 40567 45952 51076 57856 81134 91904 102152 128881 162268 183808 204304 257762 324536 408608 515524 649072 817216 1031048 1298144 1634432 2062096 2596288 3268864 4124192 4584071 5192576 6537728 8248384 9168142 10385152 14563553 16496768 18336284 20770304 29127106 32993536 36672568 58254212 65987072 73345136 116508424 146690272 233016848 293380544 466033696 586761088 932067392 1173522176 1645681489 1864134784 2347044352 3291362978 3728269568 6582725956 7456539136 13165451912 26330903824 52661807648 105323615296 210647230592 421294461184 842588922368