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5346935920 = 2451931111311
BaseRepresentation
bin1001111101011001…
…11100010001110000
3111210122012111011201
410332230330101300
541422303422140
62242323220544
7246334130314
oct47654742160
914718174151
105346935920
1122a422a107
121052817754
136729b1211
1438a1b1b44
1521463749a
hex13eb3c470

5346935920 has 80 divisors (see below), whose sum is σ = 13129159680. Its totient is φ = 2019513600.

The previous prime is 5346935903. The next prime is 5346935941. The reversal of 5346935920 is 295396435.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 467065 + ... + 478375.

It is an arithmetic number, because the mean of its divisors is an integer number (164114496).

Almost surely, 25346935920 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 5346935920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6564579840).

5346935920 is an abundant number, since it is smaller than the sum of its proper divisors (7782223760).

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

5346935920 is a wasteful number, since it uses less digits than its factorization.

5346935920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11654 (or 11648 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 46.

The square root of 5346935920 is about 73122.7455720858. The cubic root of 5346935920 is about 1748.6450377026.

The spelling of 5346935920 in words is "five billion, three hundred forty-six million, nine hundred thirty-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 311 380 622 760 1244 1520 1555 2488 3110 4976 5909 6220 11311 11818 12440 22622 23636 24880 29545 45244 47272 56555 59090 90488 94544 113110 118180 180976 214909 226220 236360 429818 452440 472720 859636 904880 1074545 1719272 2149090 3438544 3517721 4298180 7035442 8596360 14070884 17192720 17588605 28141768 35177210 56283536 66836699 70354420 133673398 140708840 267346796 281417680 334183495 534693592 668366990 1069387184 1336733980 2673467960 5346935920