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5416464792 = 2331729597759
BaseRepresentation
bin1010000101101100…
…01011000110011000
3111222111000220212010
411002312023012120
542043103333132
62253245345520
7251140122354
oct50266130630
914874026763
105416464792
11232a4a9192
121071b682a0
1368421646b
14395510464
1521a7bd6cc
hex142d8b198

5416464792 has 128 divisors (see below), whose sum is σ = 15085440000. Its totient is φ = 1612670976.

The previous prime is 5416464761. The next prime is 5416464839. The reversal of 5416464792 is 2974646145.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 694209 + ... + 701967.

It is an arithmetic number, because the mean of its divisors is an integer number (117855000).

Almost surely, 25416464792 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 5416464792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7542720000).

5416464792 is an abundant number, since it is smaller than the sum of its proper divisors (9668975208).

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

5416464792 is a wasteful number, since it uses less digits than its factorization.

5416464792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7873 (or 7869 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 48.

The square root of 5416464792 is about 73596.6357383271. The cubic root of 5416464792 is about 1756.1919205693.

The spelling of 5416464792 in words is "five billion, four hundred sixteen million, four hundred sixty-four thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 17 24 29 34 51 58 59 68 87 102 116 118 136 174 177 204 232 236 348 354 408 472 493 696 708 986 1003 1416 1479 1711 1972 2006 2958 3009 3422 3944 4012 5133 5916 6018 6844 7759 8024 10266 11832 12036 13688 15518 20532 23277 24072 29087 31036 41064 46554 58174 62072 87261 93108 116348 131903 174522 186216 225011 232696 263806 349044 395709 450022 457781 527612 675033 698088 791418 900044 915562 1055224 1350066 1373343 1582836 1800088 1831124 2700132 2746686 3165672 3662248 3825187 5400264 5493372 7650374 7782277 10986744 11475561 13275649 15300748 15564554 22951122 23346831 26551298 30601496 31129108 39826947 45902244 46693662 53102596 62258216 79653894 91804488 93387324 106205192 159307788 186774648 225686033 318615576 451372066 677058099 902744132 1354116198 1805488264 2708232396 5416464792