Search a number
-
+
42016693829952 = 2632707475916987
BaseRepresentation
bin10011000110110110001100…
…00111000100000101000000
312111202202102122011021211210
421203123012013010011000
521001400142110024302
6225210111440010120
711564414561545002
oct1143330607040500
9174682378137753
1042016693829952
111242a1a8326436
124867149900940
131a5a207573c0a
14a5389410a372
154cce3d59466c
hex2636c61c4140

42016693829952 has 112 divisors (see below), whose sum is σ = 111240152952320. Its totient is φ = 13996624891392.

The previous prime is 42016693829941. The next prime is 42016693830043. The reversal of 42016693829952 is 25992839661024.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2473453203 + ... + 2473470189.

It is an arithmetic number, because the mean of its divisors is an integer number (993215651360).

Almost surely, 242016693829952 is an apocalyptic number.

It is an amenable number.

42016693829952 is an abundant number, since it is smaller than the sum of its proper divisors (69223459122368).

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

42016693829952 is a wasteful number, since it uses less digits than its factorization.

42016693829952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24468 (or 24458 counting only the distinct ones).

The product of its (nonzero) digits is 100776960, while the sum is 66.

The spelling of 42016693829952 in words is "forty-two trillion, sixteen billion, six hundred ninety-three million, eight hundred twenty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 2707 4759 5414 8121 9518 10828 14277 16242 16987 19036 21656 28554 32484 33974 38072 43312 50961 57108 64968 67948 76144 86624 101922 114216 129936 135896 152288 173248 203844 228432 259872 271792 304576 407688 456864 519744 543584 815376 913728 1087168 1630752 3261504 12882613 25765226 38647839 45983809 51530452 77295678 80841133 91967618 103060904 137951427 154591356 161682266 183935236 206121808 242523399 275902854 309182712 323364532 367870472 412243616 485046798 551805708 618365424 646729064 735740944 824487232 970093596 1103611416 1236730848 1293458128 1471481888 1940187192 2207222832 2473461696 2586916256 2942963776 3880374384 4414445664 5173832512 7760748768 8828891328 15521497536 218836947031 437673894062 656510841093 875347788124 1313021682186 1750695576248 2626043364372 3501391152496 5252086728744 7002782304992 10504173457488 14005564609984 21008346914976 42016693829952