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5158297920 = 263513141017
BaseRepresentation
bin1001100110111010…
…10110000101000000
3111022111020200111010
410303131112011000
541031011013140
62211504120520
7241553544306
oct46335260500
914274220433
105158297920
1122077a7636
12bbb606140
136428a46b9
1436d10a276
15202cc4880
hex133756140

5158297920 has 112 divisors (see below), whose sum is σ = 16503018048. Its totient is φ = 1365012480.

The previous prime is 5158297891. The next prime is 5158297933. The reversal of 5158297920 is 297928515.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5158297920.

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, 105252 + ... + 146268.

Almost surely, 25158297920 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 5158297920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8251509024).

5158297920 is an abundant number, since it is smaller than the sum of its proper divisors (11344720128).

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

5158297920 is a wasteful number, since it uses less digits than its factorization.

5158297920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41168 (or 41158 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 48.

The square root of 5158297920 is about 71821.2915506258. The cubic root of 5158297920 is about 1727.8344963232.

The spelling of 5158297920 in words is "five billion, one hundred fifty-eight million, two hundred ninety-seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 131 160 192 240 262 320 393 480 524 655 786 960 1048 1310 1572 1965 2096 2620 3144 3930 4192 5240 6288 7860 8384 10480 12576 15720 20960 25152 31440 41017 41920 62880 82034 123051 125760 164068 205085 246102 328136 410170 492204 615255 656272 820340 984408 1230510 1312544 1640680 1968816 2461020 2625088 3281360 3937632 4922040 5373227 6562720 7875264 9844080 10746454 13125440 16119681 19688160 21492908 26866135 32239362 39376320 42985816 53732270 64478724 80598405 85971632 107464540 128957448 161196810 171943264 214929080 257914896 322393620 343886528 429858160 515829792 644787240 859716320 1031659584 1289574480 1719432640 2579148960 5158297920