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42503061504 = 21433723371
BaseRepresentation
bin100111100101011000…
…010100000000000000
311001201010000020101010
4213211120110000000
51144021240432004
631305312040520
73033160030131
oct474530240000
9131633006333
1042503061504
1117030963212
1282a2233140
134014814347
1420b2bb7c88
15118b619a89
hex9e5614000

42503061504 has 120 divisors (see below), whose sum is σ = 116406209248. Its totient is φ = 13784186880.

The previous prime is 42503061463. The next prime is 42503061539. The reversal of 42503061504 is 40516030524.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1806939 + ... + 1830309.

Almost surely, 242503061504 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 42503061504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58203104624).

42503061504 is an abundant number, since it is smaller than the sum of its proper divisors (73903147744).

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

42503061504 is an equidigital number, since it uses as much as digits as its factorization.

42503061504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23439 (or 23413 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 42503061504 in words is "forty-two billion, five hundred three million, sixty-one thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 256 296 384 444 512 592 768 888 1024 1184 1536 1776 2048 2368 3072 3552 4096 4736 6144 7104 8192 9472 12288 14208 16384 18944 23371 24576 28416 37888 46742 49152 56832 70113 75776 93484 113664 140226 151552 186968 227328 280452 303104 373936 454656 560904 606208 747872 864727 909312 1121808 1495744 1729454 1818624 2243616 2594181 2991488 3458908 4487232 5188362 5982976 6917816 8974464 10376724 11965952 13835632 17948928 20753448 23931904 27671264 35897856 41506896 47863808 55342528 71795712 83013792 95727616 110685056 143591424 166027584 191455232 221370112 287182848 332055168 382910464 442740224 574365696 664110336 885480448 1148731392 1328220672 1770960896 2656441344 3541921792 5312882688 7083843584 10625765376 14167687168 21251530752 42503061504