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5153001600 = 27352536771
BaseRepresentation
bin1001100110010010…
…01001000010000000
3111022010021121022010
410303021021002000
541023132022400
62211154412520
7241460535165
oct46311110200
914263247263
105153001600
11220480a40a
12bb9891140
1364176ba96
1436c52c06c
152025ca450
hex133249080

5153001600 has 96 divisors (see below), whose sum is σ = 16972730640. Its totient is φ = 1374131200.

The previous prime is 5153001593. The next prime is 5153001643. The reversal of 5153001600 is 61003515.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 258786 + ... + 277985.

Almost surely, 25153001600 is an apocalyptic number.

5153001600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5153001600 is an abundant number, since it is smaller than the sum of its proper divisors (11819729040).

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

5153001600 is a wasteful number, since it uses less digits than its factorization.

5153001600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536798 (or 536781 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 5153001600 is about 71784.4105638543. The cubic root of 5153001600 is about 1727.2429382590.

The spelling of 5153001600 in words is "five billion, one hundred fifty-three million, one thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 300 320 384 400 480 600 640 800 960 1200 1600 1920 2400 3200 4800 9600 536771 1073542 1610313 2147084 2683855 3220626 4294168 5367710 6441252 8051565 8588336 10735420 12882504 13419275 16103130 17176672 21470840 25765008 26838550 32206260 34353344 40257825 42941680 51530016 53677100 64412520 68706688 80515650 85883360 103060032 107354200 128825040 161031300 171766720 206120064 214708400 257650080 322062600 343533440 429416800 515300160 644125200 858833600 1030600320 1288250400 1717667200 2576500800 5153001600