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5016296496 = 2433179139307
BaseRepresentation
bin1001010101111111…
…01001110000110000
3110221121001021011010
410222333221300300
540233132441441
62145432350520
7235210550061
oct45277516060
913847037133
105016296496
112144628892
12b7bb45440
1361c3463a3
14358304568
151e55c5116
hex12afe9c30

5016296496 has 160 divisors (see below), whose sum is σ = 13688012800. Its totient is φ = 1581016320.

The previous prime is 5016296491. The next prime is 5016296501. The reversal of 5016296496 is 6946926105.

It is an interprime number because it is at equal distance from previous prime (5016296491) and next prime (5016296501).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (5016296491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16339575 + ... + 16339881.

It is an arithmetic number, because the mean of its divisors is an integer number (85550080).

Almost surely, 25016296496 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 5016296496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6844006400).

5016296496 is an abundant number, since it is smaller than the sum of its proper divisors (8671716304).

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

5016296496 is a wasteful number, since it uses less digits than its factorization.

5016296496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 48.

The square root of 5016296496 is about 70825.8180044537. The cubic root of 5016296496 is about 1711.8317063876.

The spelling of 5016296496 in words is "five billion, sixteen million, two hundred ninety-six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 79 93 124 139 158 186 237 248 278 307 316 372 417 474 496 556 614 632 744 834 921 948 1112 1228 1264 1488 1668 1842 1896 2224 2449 2456 3336 3684 3792 4309 4898 4912 6672 7347 7368 8618 9517 9796 10981 12927 14694 14736 17236 19034 19592 21962 24253 25854 28551 29388 32943 34472 38068 39184 42673 43924 48506 51708 57102 58776 65886 68944 72759 76136 85346 87848 97012 103416 114204 117552 128019 131772 145518 152272 170692 175696 194024 206832 228408 256038 263544 291036 340411 341384 388048 456816 512076 527088 582072 680822 682768 751843 1021233 1024152 1164144 1322863 1361644 1503686 2042466 2048304 2255529 2645726 2723288 3007372 3371167 3968589 4084932 4511058 5291452 5446576 6014744 6742334 7937178 8169864 9022116 10113501 10582904 12029488 13484668 15874356 16339728 18044232 20227002 21165808 26969336 31748712 36088464 40454004 53938672 63497424 80908008 104506177 161816016 209012354 313518531 418024708 627037062 836049416 1254074124 1672098832 2508148248 5016296496