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48034851381 = 321117414316189
BaseRepresentation
bin101100101111000110…
…011010101000110101
311120222122001021111200
4230233012122220311
51241333410221011
634022241323113
73320230333326
oct545706325065
9146878037450
1048034851381
111940a46a890
129386936499
1346b68a88aa
14247974844d
1513b20b8856
hexb2f19aa35

48034851381 has 96 divisors (see below), whose sum is σ = 84012888960. Its totient is φ = 26108006400.

The previous prime is 48034851329. The next prime is 48034851391. The reversal of 48034851381 is 18315843084.

48034851381 is a `hidden beast` number, since 4 + 80 + 3 + 485 + 13 + 81 = 666.

It is not a de Polignac number, because 48034851381 - 221 = 48032754229 is a prime.

It is a super-2 number, since 2×480348513812 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48034851391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2959035 + ... + 2975223.

It is an arithmetic number, because the mean of its divisors is an integer number (875134260).

Almost surely, 248034851381 is an apocalyptic number.

48034851381 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

48034851381 is a deficient number, since it is larger than the sum of its proper divisors (35978037579).

48034851381 is a wasteful number, since it uses less digits than its factorization.

48034851381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16307 (or 16304 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 48034851381 in words is "forty-eight billion, thirty-four million, eight hundred fifty-one thousand, three hundred eighty-one".

Divisors: 1 3 9 11 17 33 41 43 51 99 123 129 153 187 369 387 451 473 561 697 731 1353 1419 1683 1763 2091 2193 4059 4257 5289 6273 6579 7667 8041 15867 16189 19393 23001 24123 29971 48567 58179 69003 72369 89913 145701 174537 178079 269739 275213 329681 534237 663749 696127 825639 989043 1602711 1991247 2088381 2476917 2967129 3027343 5973741 6265143 7301239 7657397 9082029 11283733 11834159 21903717 22972191 27246087 28541207 33851199 35502477 65711151 68916573 85623621 101553597 106507431 124121063 130175749 256870863 313953277 372363189 390527247 485200519 941859831 1117089567 1171581741 1455601557 2825579493 4366804671 5337205709 16011617127 48034851381