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5071755392 = 271123199787
BaseRepresentation
bin1001011100100110…
…01101100010000000
3111002110101212110022
410232103031202000
540341332133032
62155133153012
7236453131604
oct45623154200
914073355408
105071755392
112172967990
12b9662b768
1362a9933c2
1436181d504
151ea3cc512
hex12e4cd880

5071755392 has 128 divisors (see below), whose sum is σ = 11574144000. Its totient is φ = 2191242240.

The previous prime is 5071755389. The next prime is 5071755397. The reversal of 5071755392 is 2935571705.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (5071755397) 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, 6444023 + ... + 6444809.

It is an arithmetic number, because the mean of its divisors is an integer number (90423000).

Almost surely, 25071755392 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 5071755392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5787072000).

5071755392 is an abundant number, since it is smaller than the sum of its proper divisors (6502388608).

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

5071755392 is a wasteful number, since it uses less digits than its factorization.

5071755392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 330750, while the sum is 44.

The square root of 5071755392 is about 71216.2579191016. The cubic root of 5071755392 is about 1718.1171247232.

The spelling of 5071755392 in words is "five billion, seventy-one million, seven hundred fifty-five thousand, three hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 128 176 184 199 253 352 368 398 506 704 736 787 796 1012 1408 1472 1574 1592 2024 2189 2944 3148 3184 4048 4378 4577 6296 6368 8096 8657 8756 9154 12592 12736 16192 17314 17512 18101 18308 25184 25472 32384 34628 35024 36202 36616 50347 50368 69256 70048 72404 73232 100694 100736 138512 140096 144808 146464 156613 199111 201388 277024 280192 289616 292928 313226 398222 402776 554048 579232 585856 626452 796444 805552 1108096 1158464 1252904 1592888 1611104 1722743 2316928 2505808 3185776 3222208 3445486 3602099 5011616 6371552 6444416 6890972 7204198 10023232 12743104 13781944 14408396 20046464 25486208 27563888 28816792 39623089 55127776 57633584 79246178 110255552 115267168 158492356 220511104 230534336 316984712 461068672 633969424 1267938848 2535877696 5071755392