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5099051264 = 28172413
BaseRepresentation
bin1001011111110110…
…10101100100000000
3111011100202122100112
410233323111210000
540420324120024
62201550210452
7240234135446
oct45773254400
914140678315
105099051264
11218731075a
12ba37b3a28
1363352c5c8
143652c6b96
151ec9c000e
hex12fed5900

5099051264 has 108 divisors (see below), whose sum is σ = 11082418788. Its totient is φ = 2341027840.

The previous prime is 5099051231. The next prime is 5099051297. The reversal of 5099051264 is 4621509905.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (5099051231) and next prime (5099051297).

It can be written as a sum of positive squares in 6 ways, for example, as 3341764864 + 1757286400 = 57808^2 + 41920^2 .

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 124367084 + ... + 124367124.

Almost surely, 25099051264 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 5099051264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5541209394).

5099051264 is an abundant number, since it is smaller than the sum of its proper divisors (5983367524).

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

5099051264 is an frugal number, since it uses more digits than its factorization.

5099051264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 41.

The square root of 5099051264 is about 71407.6414958511. The cubic root of 5099051264 is about 1721.1938781681.

Multiplying 5099051264 by its sum of digits (41), we get a square (209061101824 = 4572322).

5099051264 divided by its sum of digits (41) gives a square (124367104 = 111522).

The spelling of 5099051264 in words is "five billion, ninety-nine million, fifty-one thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 17 32 34 41 64 68 82 128 136 164 256 272 289 328 544 578 656 697 1088 1156 1312 1394 1681 2176 2312 2624 2788 3362 4352 4624 5248 5576 6724 9248 10496 11152 11849 13448 18496 22304 23698 26896 28577 36992 44608 47396 53792 57154 68921 73984 89216 94792 107584 114308 137842 178432 189584 215168 228616 275684 379168 430336 457232 485809 551368 758336 914464 971618 1102736 1171657 1516672 1828928 1943236 2205472 2343314 3033344 3657856 3886472 4410944 4686628 7315712 7772944 8821888 9373256 15545888 17643776 18746512 19918169 31091776 37493024 39836338 62183552 74986048 79672676 124367104 149972096 159345352 299944192 318690704 637381408 1274762816 2549525632 5099051264