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47749074464 = 2571324476701
BaseRepresentation
bin101100011110000100…
…010000111000100000
311120020201022022021102
4230132010100320200
51240242230340324
633534032213532
73310160302430
oct543604207040
9146221268242
1047749074464
1119283120413
12930709a2a8
13466c61a920
14244d7d82c0
151396e68dae
hexb1e110e20

47749074464 has 96 divisors (see below), whose sum is σ = 115764235776. Its totient is φ = 18879206400.

The previous prime is 47749074437. The next prime is 47749074467. The reversal of 47749074464 is 46447094774.

It is a super-2 number, since 2×477490744642 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (47749074467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7122314 + ... + 7129014.

It is an arithmetic number, because the mean of its divisors is an integer number (1205877456).

Almost surely, 247749074464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47749074464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57882117888).

47749074464 is an abundant number, since it is smaller than the sum of its proper divisors (68015161312).

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

47749074464 is a wasteful number, since it uses less digits than its factorization.

47749074464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9178 (or 9170 counting only the distinct ones).

The product of its (nonzero) digits is 18966528, while the sum is 56.

The spelling of 47749074464 in words is "forty-seven billion, seven hundred forty-nine million, seventy-four thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 1456 2447 2912 4894 6701 9788 13402 17129 19576 26804 31811 34258 39152 46907 53608 63622 68516 78304 87113 93814 107216 127244 137032 174226 187628 214432 222677 254488 274064 348452 375256 445354 508976 548128 609791 696904 750512 890708 1017952 1219582 1393808 1501024 1781416 2439164 2787616 3562832 4878328 7125664 9756656 16397347 19513312 32794694 65589388 114781429 131178776 213165511 229562858 262357552 426331022 459125716 524715104 852662044 918251432 1492158577 1705324088 1836502864 2984317154 3410648176 3673005728 5968634308 6821296352 11937268616 23874537232 47749074464