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5354811520 = 27547672657
BaseRepresentation
bin1001111110010101…
…11111000010000000
3111211012000121110121
410333022333002000
541431312432040
62243204110024
7246461101252
oct47712770200
914735017417
105354811520
1122a8719173
121055395314
1367450ab36
1438b261cd2
15215190c4a
hex13f2bf080

5354811520 has 128 divisors (see below), whose sum is σ = 13273839360. Its totient is φ = 2064285696.

The previous prime is 5354811481. The next prime is 5354811529. The reversal of 5354811520 is 251184535.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (5354811529) 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, 2014032 + ... + 2016688.

It is an arithmetic number, because the mean of its divisors is an integer number (103701870).

Almost surely, 25354811520 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 5354811520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6636919680).

5354811520 is an abundant number, since it is smaller than the sum of its proper divisors (7919027840).

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

5354811520 is a wasteful number, since it uses less digits than its factorization.

5354811520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2790 (or 2778 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 34.

The square root of 5354811520 is about 73176.5776734605. The cubic root of 5354811520 is about 1749.5031536465.

The spelling of 5354811520 in words is "five billion, three hundred fifty-four million, eight hundred eleven thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 64 67 80 94 128 134 160 188 235 268 320 335 376 470 536 640 670 752 940 1072 1340 1504 1880 2144 2657 2680 3008 3149 3760 4288 5314 5360 6016 6298 7520 8576 10628 10720 12596 13285 15040 15745 21256 21440 25192 26570 30080 31490 42512 42880 50384 53140 62980 85024 100768 106280 124879 125960 170048 178019 201536 212560 249758 251920 340096 356038 403072 425120 499516 503840 624395 712076 850240 890095 999032 1007680 1248790 1424152 1700480 1780190 1998064 2015360 2497580 2848304 3560380 3996128 4995160 5696608 7120760 7992256 8366893 9990320 11393216 14241520 15984512 16733786 19980640 22786432 28483040 33467572 39961280 41834465 56966080 66935144 79922560 83668930 113932160 133870288 167337860 267740576 334675720 535481152 669351440 1070962304 1338702880 2677405760 5354811520