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5001663040 = 265117012027
BaseRepresentation
bin1001010100001111…
…10101001001000000
3110220120111210211021
410222013311021000
540220411204130
62144150555224
7234642301663
oct45207651100
913816453737
105001663040
112137343520
12b77068b14
136192c183a
143563b56da
151e418437a
hex12a1f5240

5001663040 has 112 divisors (see below), whose sum is σ = 13017910464. Its totient is φ = 1815296000.

The previous prime is 5001663019. The next prime is 5001663047. The reversal of 5001663040 is 403661005.

It is a junction number, because it is equal to n+sod(n) for n = 5001662996 and 5001663014.

It is not an unprimeable number, because it can be changed into a prime (5001663047) 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, 2466507 + ... + 2468533.

Almost surely, 25001663040 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 5001663040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6508955232).

5001663040 is an abundant number, since it is smaller than the sum of its proper divisors (8016247424).

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

5001663040 is a wasteful number, since it uses less digits than its factorization.

5001663040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2756 (or 2746 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 5001663040 is about 70722.4366096078. The cubic root of 5001663040 is about 1710.1655095548.

The spelling of 5001663040 in words is "five billion, one million, six hundred sixty-three thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 440 701 704 880 1402 1760 2027 2804 3505 3520 4054 5608 7010 7711 8108 10135 11216 14020 15422 16216 20270 22297 22432 28040 30844 32432 38555 40540 44594 44864 56080 61688 64864 77110 81080 89188 111485 112160 123376 129728 154220 162160 178376 222970 224320 246752 308440 324320 356752 445940 493504 616880 648640 713504 891880 1233760 1420927 1427008 1783760 2467520 2841854 3567520 5683708 7104635 7135040 11367416 14209270 15630197 22734832 28418540 31260394 45469664 56837080 62520788 78150985 90939328 113674160 125041576 156301970 227348320 250083152 312603940 454696640 500166304 625207880 1000332608 1250415760 2500831520 5001663040