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5053012992 = 21032599293
BaseRepresentation
bin1001011010010111…
…01101110000000000
3111001011010122201100
410231023231300000
540322032403432
62153223334400
7236134621206
oct45513556000
914034118640
105053012992
1121633264a5
12b902b1400
13626b30521
1435d141076
151e892907c
hex12d2edc00

5053012992 has 132 divisors (see below), whose sum is σ = 14839358040. Its totient is φ = 1655611392.

The previous prime is 5053012967. The next prime is 5053012999. The reversal of 5053012992 is 2992103505.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5053012999) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 539098 + ... + 548390.

Almost surely, 25053012992 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 5053012992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7419679020).

5053012992 is an abundant number, since it is smaller than the sum of its proper divisors (9786345048).

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

5053012992 is a wasteful number, since it uses less digits than its factorization.

5053012992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9378 (or 9357 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 5053012992 is about 71084.5481943861. The cubic root of 5053012992 is about 1715.9981091149.

The spelling of 5053012992 in words is "five billion, fifty-three million, twelve thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 64 72 96 118 128 144 177 192 236 256 288 354 384 472 512 531 576 708 768 944 1024 1062 1152 1416 1536 1888 2124 2304 2832 3072 3776 4248 4608 5664 7552 8496 9216 9293 11328 15104 16992 18586 22656 27879 30208 33984 37172 45312 55758 60416 67968 74344 83637 90624 111516 135936 148688 167274 181248 223032 271872 297376 334548 446064 543744 548287 594752 669096 892128 1096574 1189504 1338192 1644861 1784256 2193148 2379008 2676384 3289722 3568512 4386296 4758016 4934583 5352768 6579444 7137024 8772592 9516032 9869166 10705536 13158888 14274048 17545184 19738332 21411072 26317776 28548096 35090368 39476664 42822144 52635552 70180736 78953328 85644288 105271104 140361472 157906656 210542208 280722944 315813312 421084416 561445888 631626624 842168832 1263253248 1684337664 2526506496 5053012992