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5190005920 = 255115355639
BaseRepresentation
bin1001101010101100…
…10011010010100000
3111101200220121200111
410311112103102200
541112120142140
62214555501104
7242420215411
oct46526232240
914350817614
105190005920
1122236942a0
12100a157794
13649326c28
14373401808
152059897ea
hex1355934a0

5190005920 has 96 divisors (see below), whose sum is σ = 13628684160. Its totient is φ = 1851632640.

The previous prime is 5190005911. The next prime is 5190005923. The reversal of 5190005920 is 295000915.

It is a super-2 number, since 2×51900059202 = 53872322899270092800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5190005923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65461 + ... + 121099.

It is an arithmetic number, because the mean of its divisors is an integer number (141965460).

Almost surely, 25190005920 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 5190005920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6814342080).

5190005920 is an abundant number, since it is smaller than the sum of its proper divisors (8438678240).

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

5190005920 is a wasteful number, since it uses less digits than its factorization.

5190005920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55718 (or 55710 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 31.

The square root of 5190005920 is about 72041.6957046404. The cubic root of 5190005920 is about 1731.3675933626.

The spelling of 5190005920 in words is "five billion, one hundred ninety million, five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 53 55 80 88 106 110 160 176 212 220 265 352 424 440 530 583 848 880 1060 1166 1696 1760 2120 2332 2915 4240 4664 5830 8480 9328 11660 18656 23320 46640 55639 93280 111278 222556 278195 445112 556390 612029 890224 1112780 1224058 1780448 2225560 2448116 2948867 3060145 4451120 4896232 5897734 6120290 8902240 9792464 11795468 12240580 14744335 19584928 23590936 24481160 29488670 32437537 47181872 48962320 58977340 64875074 94363744 97924640 117954680 129750148 162187685 235909360 259500296 324375370 471818720 519000592 648750740 1038001184 1297501480 2595002960 5190005920