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5002805496 = 23313193251331
BaseRepresentation
bin1001010100011000…
…01100000011111000
3110220122122211222110
410222030030003320
540221204233441
62144231252320
7234655100523
oct45214140370
913818584873
105002805496
112137a538a7
12b7751a0a0
13619601850
143565d1bba
151e430cb16
hex12a30c0f8

5002805496 has 128 divisors (see below), whose sum is σ = 13633885440. Its totient is φ = 1520640000.

The previous prime is 5002805491. The next prime is 5002805501. The reversal of 5002805496 is 6945082005.

It is an interprime number because it is at equal distance from previous prime (5002805491) and next prime (5002805501).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5002805491) 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 31 ways as a sum of consecutive naturals, for example, 15114051 + ... + 15114381.

It is an arithmetic number, because the mean of its divisors is an integer number (106514730).

Almost surely, 25002805496 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 5002805496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6816942720).

5002805496 is an abundant number, since it is smaller than the sum of its proper divisors (8631079944).

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

5002805496 is a wasteful number, since it uses less digits than its factorization.

5002805496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 5002805496 is about 70730.5131891463. The cubic root of 5002805496 is about 1710.2957089233.

The spelling of 5002805496 in words is "five billion, two million, eight hundred five thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 193 251 312 331 386 502 579 662 753 772 993 1004 1158 1324 1506 1544 1986 2008 2316 2509 2648 3012 3263 3972 4303 4632 5018 6024 6526 7527 7944 8606 9789 10036 12909 13052 15054 17212 19578 20072 25818 26104 30108 34424 39156 48443 51636 60216 63883 78312 83081 96886 103272 127766 145329 166162 191649 193772 249243 255532 290658 332324 383298 387544 498486 511064 581316 629759 664648 766596 830479 996972 1080053 1162632 1259518 1533192 1660958 1889277 1993944 2160106 2491437 2519036 3240159 3321916 3778554 4320212 4982874 5038072 6480318 6643832 7557108 8640424 9965748 12960636 15114216 16034633 19931496 25921272 32069266 48103899 64138532 96207798 128277064 192415596 208450229 384831192 416900458 625350687 833800916 1250701374 1667601832 2501402748 5002805496