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5233963140 = 22325719321523
BaseRepresentation
bin1001101111111011…
…11111000010000100
3111111202121212122200
410313331333002010
541204343310030
62223205554500
7243462644520
oct46775770204
914452555580
105233963140
112246487a7a
121020a15a30
13655477a13
143791a4d80
1520976dd60
hex137f7f084

5233963140 has 144 divisors (see below), whose sum is σ = 18239265408. Its totient is φ = 1190080512.

The previous prime is 5233963109. The next prime is 5233963159. The reversal of 5233963140 is 413693325.

It is a happy number.

5233963140 is a `hidden beast` number, since 5 + 2 + 339 + 6 + 314 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5233963095 and 5233963104.

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 47 ways as a sum of consecutive naturals, for example, 232419 + ... + 253941.

Almost surely, 25233963140 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 5233963140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9119632704).

5233963140 is an abundant number, since it is smaller than the sum of its proper divisors (13005302268).

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

5233963140 is a wasteful number, since it uses less digits than its factorization.

5233963140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21738 (or 21733 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 5233963140 is about 72346.1342436484. The cubic root of 5233963140 is about 1736.2418491408.

The spelling of 5233963140 in words is "five billion, two hundred thirty-three million, nine hundred sixty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 193 210 252 315 386 420 579 630 772 965 1158 1260 1351 1737 1930 2316 2702 2895 3474 3860 4053 5404 5790 6755 6948 8106 8685 11580 12159 13510 16212 17370 20265 21523 24318 27020 34740 40530 43046 48636 60795 64569 81060 86092 107615 121590 129138 150661 193707 215230 243180 258276 301322 322845 387414 430460 451983 602644 645690 753305 774828 903966 968535 1291380 1355949 1506610 1807932 1937070 2259915 2711898 3013220 3874140 4153939 4519830 5423796 6779745 8307878 9039660 12461817 13559490 16615756 20769695 24923634 27118980 29077573 37385451 41539390 49847268 58155146 62309085 74770902 83078780 87232719 116310292 124618170 145387865 149541804 174465438 186927255 249236340 261698157 290775730 348930876 373854510 436163595 523396314 581551460 747709020 872327190 1046792628 1308490785 1744654380 2616981570 5233963140