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5352651720 = 2334513127081
BaseRepresentation
bin1001111110000101…
…01111101111001000
3111211000221212210000
410333002233233020
541430234323340
62243045523000
7246433534413
oct47702575710
914730855700
105352651720
1122a7483509
121054713460
13673c32a50
1438ac5cb7a
15214db5d30
hex13f0afbc8

5352651720 has 160 divisors (see below), whose sum is σ = 19374921720. Its totient is φ = 1317565440.

The previous prime is 5352651697. The next prime is 5352651757. The reversal of 5352651720 is 271562535.

5352651720 is a `hidden beast` number, since 535 + 2 + 6 + 51 + 72 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2879180964 + 2473470756 = 53658^2 + 49734^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21421 + ... + 105660.

Almost surely, 25352651720 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 5352651720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9687460860).

5352651720 is an abundant number, since it is smaller than the sum of its proper divisors (14022270000).

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

5352651720 is a wasteful number, since it uses less digits than its factorization.

5352651720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127117 (or 127104 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 5352651720 is about 73161.8187308107. The cubic root of 5352651720 is about 1749.2679082025.

The spelling of 5352651720 in words is "five billion, three hundred fifty-two million, six hundred fifty-one thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 81 90 104 108 117 120 130 135 156 162 180 195 216 234 260 270 312 324 351 360 390 405 468 520 540 585 648 702 780 810 936 1053 1080 1170 1404 1560 1620 1755 2106 2340 2808 3240 3510 4212 4680 5265 7020 8424 10530 14040 21060 42120 127081 254162 381243 508324 635405 762486 1016648 1143729 1270810 1524972 1652053 1906215 2287458 2541620 3049944 3304106 3431187 3812430 4574916 4956159 5083240 5718645 6608212 6862374 7624860 8260265 9149832 9912318 10293561 11437290 13216424 13724748 14868477 15249720 16520530 17155935 19824636 20587122 22874580 24780795 27449496 29736954 33041060 34311870 39649272 41174244 44605431 45749160 49561590 51467805 59473908 66082120 68623740 74342385 82348488 89210862 99123180 102935610 118947816 133816293 137247480 148684770 178421724 198246360 205871220 223027155 267632586 297369540 356843448 411742440 446054310 535265172 594739080 669081465 892108620 1070530344 1338162930 1784217240 2676325860 5352651720