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5011998432 = 253761912049
BaseRepresentation
bin1001010101011110…
…10000011011100000
3110221021221220022120
410222233100123200
540231032422212
62145200304240
7235126166220
oct45257203340
913837856276
105011998432
112142162671
12b7a612080
1361b49cc5c
14357906080
151e502688c
hex12abd06e0

5011998432 has 96 divisors (see below), whose sum is σ = 15061536000. Its totient is φ = 1429567488.

The previous prime is 5011998403. The next prime is 5011998443. The reversal of 5011998432 is 2348991105.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 409944 + ... + 421992.

It is an arithmetic number, because the mean of its divisors is an integer number (156891000).

Almost surely, 25011998432 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 5011998432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7530768000).

5011998432 is an abundant number, since it is smaller than the sum of its proper divisors (10049537568).

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

5011998432 is a wasteful number, since it uses less digits than its factorization.

5011998432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12688 (or 12680 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 5011998432 is about 70795.4690075573. The cubic root of 5011998432 is about 1711.3426560422.

The spelling of 5011998432 in words is "five billion, eleven million, nine hundred ninety-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 619 672 1238 1857 2476 3714 4333 4952 7428 8666 9904 12049 12999 14856 17332 19808 24098 25998 29712 34664 36147 48196 51996 59424 69328 72294 84343 96392 103992 138656 144588 168686 192784 207984 253029 289176 337372 385568 415968 506058 578352 674744 1012116 1156704 1349488 2024232 2698976 4048464 7458331 8096928 14916662 22374993 29833324 44749986 52208317 59666648 89499972 104416634 119333296 156624951 178999944 208833268 238666592 313249902 357999888 417666536 626499804 715999776 835333072 1252999608 1670666144 2505999216 5011998432