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48313141992 = 233219916971987
BaseRepresentation
bin101100111111101100…
…000000101011101000
311121201000200220110100
4230333230000223220
51242421131020432
634110022145400
73330146634243
oct547754005350
9147630626410
1048313141992
1119542566725
129443b82260
13472c4451ab
1424a46aa25a
1513cb73a07c
hexb3fb00ae8

48313141992 has 96 divisors (see below), whose sum is σ = 131649336000. Its totient is φ = 16005952512.

The previous prime is 48313141973. The next prime is 48313142011. The reversal of 48313141992 is 29914131384.

48313141992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (48313141973) and next prime (48313142011).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (186624) is a multiple of the sum of its prime divisors (3888).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24313623 + ... + 24315609.

It is an arithmetic number, because the mean of its divisors is an integer number (1371347250).

Almost surely, 248313141992 is an apocalyptic number.

It is an amenable number.

48313141992 is an abundant number, since it is smaller than the sum of its proper divisors (83336194008).

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

48313141992 is a wasteful number, since it uses less digits than its factorization.

48313141992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3895 (or 3888 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The spelling of 48313141992 in words is "forty-eight billion, three hundred thirteen million, one hundred forty-one thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 199 398 597 796 1194 1592 1697 1791 1987 2388 3394 3582 3974 4776 5091 5961 6788 7164 7948 10182 11922 13576 14328 15273 15896 17883 20364 23844 30546 35766 40728 47688 61092 71532 122184 143064 337703 395413 675406 790826 1013109 1186239 1350812 1581652 2026218 2372478 2701624 3039327 3163304 3371939 3558717 4052436 4744956 6078654 6743878 7117434 8104872 9489912 10115817 12157308 13487756 14234868 20231634 24314616 26975512 28469736 30347451 40463268 60694902 80926536 121389804 242779608 671015861 1342031722 2013047583 2684063444 4026095166 5368126888 6039142749 8052190332 12078285498 16104380664 24156570996 48313141992