Search a number
-
+
5696129520 = 2433516715791
BaseRepresentation
bin1010100111000010…
…00000100111110000
3112200222021100202000
411103201000213300
543131202121040
62341115454000
7261104205414
oct52341004760
915628240660
105696129520
112463353464
12112b757300
136ca144353
143c070cd44
15235112130
hex1538409f0

5696129520 has 160 divisors (see below), whose sum is σ = 19738736640. Its totient is φ = 1509776640.

The previous prime is 5696129449. The next prime is 5696129533. The reversal of 5696129520 is 259216965.

It is a happy number.

5696129520 is a `hidden beast` number, since 5 + 6 + 9 + 612 + 9 + 5 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 352825 + ... + 368615.

It is an arithmetic number, because the mean of its divisors is an integer number (123367104).

Almost surely, 25696129520 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 5696129520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9869368320).

5696129520 is an abundant number, since it is smaller than the sum of its proper divisors (14042607120).

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

5696129520 is a wasteful number, since it uses less digits than its factorization.

5696129520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15980 (or 15968 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 5696129520 is about 75472.7071198589. The cubic root of 5696129520 is about 1785.9115745026.

The spelling of 5696129520 in words is "five billion, six hundred ninety-six million, one hundred twenty-nine thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 167 180 216 240 270 334 360 432 501 540 668 720 835 1002 1080 1336 1503 1670 2004 2160 2505 2672 3006 3340 4008 4509 5010 6012 6680 7515 8016 9018 10020 12024 13360 15030 15791 18036 20040 22545 24048 30060 31582 36072 40080 45090 47373 60120 63164 72144 78955 90180 94746 120240 126328 142119 157910 180360 189492 236865 252656 284238 315820 360720 378984 426357 473730 568476 631640 710595 757968 852714 947460 1136952 1263280 1421190 1705428 1894920 2131785 2273904 2637097 2842380 3410856 3789840 4263570 5274194 5684760 6821712 7911291 8527140 10548388 11369520 13185485 15822582 17054280 21096776 23733873 26370970 31645164 34108560 39556455 42193552 47467746 52741940 63290328 71201619 79112910 94935492 105483880 118669365 126580656 142403238 158225820 189870984 210967760 237338730 284806476 316451640 356008095 379741968 474677460 569612952 632903280 712016190 949354920 1139225904 1424032380 1898709840 2848064760 5696129520