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542289310464 = 28311193378497
BaseRepresentation
bin1111110010000101111…
…01100011001100000000
31220211202002000021022110
413321002331203030000
532341102030413324
61053042501535320
754115302040566
oct7710275431400
91824662007273
10542289310464
11199a901a6360
1289123714540
133c1a35a1ac5
141c365879a36
15e18d5c9329
hex7e42f63300

542289310464 has 144 divisors (see below), whose sum is σ = 1657355978880. Its totient is φ = 155681095680.

The previous prime is 542289310441. The next prime is 542289310471. The reversal of 542289310464 is 464013982245.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 1528737 + ... + 1849760.

It is an arithmetic number, because the mean of its divisors is an integer number (11509416520).

Almost surely, 2542289310464 is an apocalyptic number.

It is an amenable number.

542289310464 is an abundant number, since it is smaller than the sum of its proper divisors (1115066668416).

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

542289310464 is a wasteful number, since it uses less digits than its factorization.

542289310464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3378546 (or 3378532 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 542289310464 in words is "five hundred forty-two billion, two hundred eighty-nine million, three hundred ten thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 64 66 76 88 96 114 128 132 152 176 192 209 228 256 264 304 352 384 418 456 528 608 627 704 768 836 912 1056 1216 1254 1408 1672 1824 2112 2432 2508 2816 3344 3648 4224 4864 5016 6688 7296 8448 10032 13376 14592 20064 26752 40128 53504 80256 160512 3378497 6756994 10135491 13513988 20270982 27027976 37163467 40541964 54055952 64191443 74326934 81083928 108111904 111490401 128382886 148653868 162167856 192574329 216223808 222980802 256765772 297307736 324335712 385148658 432447616 445961604 513531544 594615472 648671424 706105873 770297316 864895232 891923208 1027063088 1189230944 1297342848 1412211746 1540594632 1783846416 2054126176 2118317619 2378461888 2594685696 2824423492 3081189264 3567692832 4108252352 4236635238 4756923776 5648846984 6162378528 7135385664 8216504704 8473270476 9513847552 11297693968 12324757056 14270771328 16433009408 16946540952 22595387936 24649514112 28541542656 33893081904 45190775872 49299028224 67786163808 90381551744 135572327616 180763103488 271144655232 542289310464