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84290977909248 = 293114988812613
BaseRepresentation
bin10011001010100110000101…
…110010111100101000000000
3102001110010202011211001110220
4103022212011302330220000
542022010410321043443
6455134423553023040
723516552003420415
oct2312460562745000
9361403664731426
1084290977909248
112494866a628760
1295541a5b54a80
1338057b35732c6
1416b59c2b1010c
159b2905eb0a83
hex4ca985cbca00

84290977909248 has 80 divisors (see below), whose sum is σ = 244970654597856. Its totient is φ = 25542720573440.

The previous prime is 84290977909223. The next prime is 84290977909279.

84290977909248 is nontrivially palindromic in base 10.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2494389411 + ... + 2494423202.

Almost surely, 284290977909248 is an apocalyptic number.

84290977909248 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

84290977909248 is an abundant number, since it is smaller than the sum of its proper divisors (160679676688608).

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

84290977909248 is a wasteful number, since it uses less digits than its factorization.

84290977909248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4988812645 (or 4988812629 counting only the distinct ones).

The product of its (nonzero) digits is 1316818944, while the sum is 78.

The spelling of 84290977909248 in words is "eighty-four trillion, two hundred ninety billion, nine hundred seventy-seven million, nine hundred nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1056 1408 1536 2112 2816 4224 5632 8448 16896 4988812613 9977625226 14966437839 19955250452 29932875678 39910500904 54876938743 59865751356 79821001808 109753877486 119731502712 159642003616 164630816229 219507754972 239463005424 319284007232 329261632458 439015509944 478926010848 638568014464 658523264916 878031019888 957852021696 1277136028928 1317046529832 1756062039776 1915704043392 2554272057856 2634093059664 3512124079552 3831408086784 5268186119328 7024248159104 7662816173568 10536372238656 14048496318208 21072744477312 28096992636416 42145488954624 84290977909248