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5652113920 = 29519294007
BaseRepresentation
bin1010100001110010…
…00110101000000000
3112120220110010200121
411100321012220000
543033420121140
62332504230024
7260031114145
oct52071065000
915526403617
105652113920
11244051a932
121118a6b314
136c0ca2b0b
143b89323cc
1523131a64a
hex150e46a00

5652113920 has 160 divisors (see below), whose sum is σ = 14760662400. Its totient is φ = 2067480576.

The previous prime is 5652113899. The next prime is 5652113933. The reversal of 5652113920 is 293112565.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1408557 + ... + 1412563.

It is an arithmetic number, because the mean of its divisors is an integer number (92254140).

Almost surely, 25652113920 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 5652113920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7380331200).

5652113920 is an abundant number, since it is smaller than the sum of its proper divisors (9108548480).

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

5652113920 is a wasteful number, since it uses less digits than its factorization.

5652113920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4078 (or 4062 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 34.

The square root of 5652113920 is about 75180.5421635146. The cubic root of 5652113920 is about 1781.2995937849.

The spelling of 5652113920 in words is "five billion, six hundred fifty-two million, one hundred thirteen thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 29 32 38 40 58 64 76 80 95 116 128 145 152 160 190 232 256 290 304 320 380 464 512 551 580 608 640 760 928 1102 1160 1216 1280 1520 1856 2204 2320 2432 2560 2755 3040 3712 4007 4408 4640 4864 5510 6080 7424 8014 8816 9280 9728 11020 12160 14848 16028 17632 18560 20035 22040 24320 32056 35264 37120 40070 44080 48640 64112 70528 74240 76133 80140 88160 116203 128224 141056 152266 160280 176320 232406 256448 282112 304532 320560 352640 380665 464812 512896 581015 609064 641120 705280 761330 929624 1025792 1162030 1218128 1282240 1410560 1522660 1859248 2051584 2207857 2324060 2436256 2564480 3045320 3718496 4415714 4648120 4872512 5128960 6090640 7436992 8831428 9296240 9745024 10257920 11039285 12181280 14873984 17662856 18592480 19490048 22078570 24362560 29747968 35325712 37184960 38980096 44157140 48725120 59495936 70651424 74369920 88314280 97450240 141302848 148739840 176628560 194900480 282605696 297479680 353257120 565211392 706514240 1130422784 1413028480 2826056960 5652113920