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42498562920 = 233511190716883
BaseRepresentation
bin100111100101000111…
…001001101101101000
311001200210112200110220
4213211013021231220
51144014113003140
631305031410040
73033103552542
oct474507115550
9131623480426
1042498562920
1117029370380
1282a0823920
1340138ca868
1420b2366692
15118b02bbd0
hex9e51c9b68

42498562920 has 128 divisors (see below), whose sum is σ = 139167383040. Its totient is φ = 10296669440.

The previous prime is 42498562913. The next prime is 42498562963. The reversal of 42498562920 is 2926589424.

It is a happy number.

42498562920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×424985629202 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2508799 + ... + 2525681.

It is an arithmetic number, because the mean of its divisors is an integer number (1087245180).

Almost surely, 242498562920 is an apocalyptic number.

42498562920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42498562920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69583691520).

42498562920 is an abundant number, since it is smaller than the sum of its proper divisors (96668820120).

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

42498562920 is a wasteful number, since it uses less digits than its factorization.

42498562920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18815 (or 18811 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 42498562920 in words is "forty-two billion, four hundred ninety-eight million, five hundred sixty-two thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 1907 3814 5721 7628 9535 11442 15256 16883 19070 20977 22884 28605 33766 38140 41954 45768 50649 57210 62931 67532 76280 83908 84415 101298 104885 114420 125862 135064 167816 168830 185713 202596 209770 228840 251724 253245 314655 337660 371426 405192 419540 503448 506490 557139 629310 675320 742852 839080 928565 1012980 1114278 1258620 1485704 1857130 2025960 2228556 2517240 2785695 3714260 4457112 5571390 7428520 11142780 22285560 32195881 64391762 96587643 128783524 160979405 193175286 257567048 321958810 354154691 386350572 482938215 643917620 708309382 772701144 965876430 1062464073 1287835240 1416618764 1770773455 1931752860 2124928146 2833237528 3541546910 3863505720 4249856292 5312320365 7083093820 8499712584 10624640730 14166187640 21249281460 42498562920