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42501012345 = 325111573491567
BaseRepresentation
bin100111100101010000…
…011111101101111001
311001200222011010110100
4213211100133231321
51144020224343340
631305200110013
73033133433661
oct474520375571
9131628133410
1042501012345
111702a7936a0
1282a1605309
13401427771c
1420b28031a1
15118b362830
hex9e541fb79

42501012345 has 96 divisors (see below), whose sum is σ = 81160934400. Its totient is φ = 20403601920.

The previous prime is 42501012331. The next prime is 42501012383. The reversal of 42501012345 is 54321010524.

42501012345 is a `hidden beast` number, since 425 + 0 + 1 + 0 + 1 + 234 + 5 = 666.

It is not a de Polignac number, because 42501012345 - 25 = 42501012313 is a prime.

It is a super-3 number, since 3×425010123453 (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27121752 + ... + 27123318.

It is an arithmetic number, because the mean of its divisors is an integer number (845426400).

Almost surely, 242501012345 is an apocalyptic number.

42501012345 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42501012345 is a deficient number, since it is larger than the sum of its proper divisors (38659922055).

42501012345 is a wasteful number, since it uses less digits than its factorization.

42501012345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2095 (or 2092 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 42501012345 its reverse (54321010524), we get a palindrome (96822022869).

The spelling of 42501012345 in words is "forty-two billion, five hundred one million, twelve thousand, three hundred forty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 157 165 349 471 495 785 1047 1413 1567 1727 1745 2355 3141 3839 4701 5181 5235 7065 7835 8635 11517 14103 15543 15705 17237 19195 23505 25905 34551 51711 54793 57585 70515 77715 86185 155133 164379 172755 246019 258555 273965 493137 546883 602723 738057 775665 821895 1230095 1640649 1808169 2214171 2465685 2706209 2734415 3013615 3690285 4921947 5424507 6015713 8118627 8203245 9040845 11070855 13531045 18047139 24355881 24609735 27122535 30078565 40593135 54141417 85860631 90235695 121779405 257581893 270707085 429303155 772745679 944466941 1287909465 2833400823 3863728395 4722334705 8500202469 14167004115 42501012345