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5309609376 = 2531511572333
BaseRepresentation
bin1001111000111101…
…00011010110100000
3111201000222002210010
410330132203112200
541333230000001
62234511204520
7245401635501
oct47436432640
914630862703
105309609376
112285155125
121042216740
136680424c6
14385256ba8
152112128d6
hex13c7a35a0

5309609376 has 96 divisors (see below), whose sum is σ = 14125442688. Its totient is φ = 1746201600.

The previous prime is 5309609353. The next prime is 5309609419. The reversal of 5309609376 is 6739069035.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 2274706 + ... + 2277038.

It is an arithmetic number, because the mean of its divisors is an integer number (147140028).

Almost surely, 25309609376 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 5309609376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7062721344).

5309609376 is an abundant number, since it is smaller than the sum of its proper divisors (8815833312).

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

5309609376 is a wasteful number, since it uses less digits than its factorization.

5309609376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2654 (or 2646 counting only the distinct ones).

The product of its (nonzero) digits is 918540, while the sum is 48.

The square root of 5309609376 is about 72867.0664703884. The cubic root of 5309609376 is about 1744.5664805401.

The spelling of 5309609376 in words is "five billion, three hundred nine million, six hundred nine thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 151 157 302 314 453 471 604 628 906 942 1208 1256 1812 1884 2333 2416 2512 3624 3768 4666 4832 5024 6999 7248 7536 9332 13998 14496 15072 18664 23707 27996 37328 47414 55992 71121 74656 94828 111984 142242 189656 223968 284484 352283 366281 379312 568968 704566 732562 758624 1056849 1098843 1137936 1409132 1465124 2113698 2197686 2275872 2818264 2930248 4227396 4395372 5636528 5860496 8454792 8790744 11273056 11720992 16909584 17581488 33819168 35162976 55308431 110616862 165925293 221233724 331850586 442467448 663701172 884934896 1327402344 1769869792 2654804688 5309609376