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48315649986 = 23417371373461
BaseRepresentation
bin101100111111110101…
…100100111111000010
311121201012102022210000
4230333311210333002
51242422301244421
634110152020430
73330210151212
oct547765447702
9147635368700
1048315649986
1119543a19a4a
129444991716
13472cb12906
1424a4b60242
1513cba83226
hexb3fd64fc2

48315649986 has 160 divisors (see below), whose sum is σ = 118622992752. Its totient is φ = 14636298240.

The previous prime is 48315649957. The next prime is 48315649997. The reversal of 48315649986 is 68994651384.

48315649986 is a `hidden beast` number, since 483 + 1 + 5 + 64 + 9 + 98 + 6 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 36031252761 + 12284397225 = 189819^2 + 110835^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13958296 + ... + 13961756.

Almost surely, 248315649986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48315649986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59311496376).

48315649986 is an abundant number, since it is smaller than the sum of its proper divisors (70307342766).

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

48315649986 is a wasteful number, since it uses less digits than its factorization.

48315649986 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3666 (or 3657 counting only the distinct ones).

The product of its digits is 44789760, while the sum is 63.

The spelling of 48315649986 in words is "forty-eight billion, three hundred fifteen million, six hundred forty-nine thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 9 17 18 27 34 37 51 54 74 81 102 111 137 153 162 222 274 306 333 411 459 629 666 822 918 999 1233 1258 1377 1887 1998 2329 2466 2754 2997 3461 3699 3774 4658 5069 5661 5994 6922 6987 7398 10138 10383 11097 11322 13974 15207 16983 20766 20961 22194 30414 31149 33966 41922 45621 50949 58837 62298 62883 86173 91242 93447 101898 117674 125766 128057 136863 172346 176511 186894 188649 256114 258519 273726 280341 353022 377298 384171 410589 474157 517038 529533 560682 768342 775557 821178 948314 1059066 1152513 1422471 1551114 1588599 2176969 2305026 2326671 2844942 3177198 3457539 4267413 4353938 4653342 4765797 6530907 6915078 6980013 8060669 8534826 9531594 10372617 12802239 13061814 13960026 16121338 17543809 19592721 20745234 24182007 25604478 35087618 38406717 39185442 48364014 52631427 58778163 72546021 76813434 105262854 117556326 145092042 157894281 176334489 217638063 298244753 315788562 352668978 435276126 473682843 596489506 652914189 894734259 947365686 1305828378 1421048529 1789468518 2684202777 2842097058 5368405554 8052608331 16105216662 24157824993 48315649986