Search a number
-
+
5353321056 = 253314738273
BaseRepresentation
bin1001111110001010…
…10011001001100000
3111211002012212221020
410333011103021200
541430422233211
62243112125440
7246442323006
oct47705231140
914732185836
105353321056
1122a78a0386
121054996880
136741085c5
1438ad94a76
15214e99306
hex13f153260

5353321056 has 96 divisors (see below), whose sum is σ = 14814793728. Its totient is φ = 1690091520.

The previous prime is 5353321049. The next prime is 5353321081. The reversal of 5353321056 is 6501233535.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×53533210562 = 57316092657225910272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120736 + ... + 159008.

It is an arithmetic number, because the mean of its divisors is an integer number (154320768).

Almost surely, 25353321056 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 5353321056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7407396864).

5353321056 is an abundant number, since it is smaller than the sum of its proper divisors (9461472672).

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

5353321056 is a wasteful number, since it uses less digits than its factorization.

5353321056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38364 (or 38356 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 33.

The square root of 5353321056 is about 73166.3929410218. The cubic root of 5353321056 is about 1749.3408190540.

The spelling of 5353321056 in words is "five billion, three hundred fifty-three million, three hundred twenty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 47 48 62 93 94 96 124 141 186 188 248 282 372 376 496 564 744 752 992 1128 1457 1488 1504 2256 2914 2976 4371 4512 5828 8742 11656 17484 23312 34968 38273 46624 69936 76546 114819 139872 153092 229638 306184 459276 612368 918552 1186463 1224736 1798831 1837104 2372926 3559389 3597662 3674208 4745852 5396493 7118778 7195324 9491704 10792986 14237556 14390648 18983408 21585972 28475112 28781296 37966816 43171944 55763761 56950224 57562592 86343888 111527522 113900448 167291283 172687776 223055044 334582566 446110088 669165132 892220176 1338330264 1784440352 2676660528 5353321056