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95108092816 = 241124321632
BaseRepresentation
bin101100010010011100…
…0100101001110010000
3100002111020122201011011
41120210320211032100
53024240132432231
6111405252300304
76604603310302
oct1304470451620
9302436581134
1095108092816
1137376047900
1216523611694
138c791990c9
144863499972
152719a359b1
hex1624e25390

95108092816 has 135 divisors (see below), whose sum is σ = 208646760987. Its totient is φ = 41966527680.

The previous prime is 95108092771. The next prime is 95108092823. The reversal of 95108092816 is 61829080159.

The square root of 95108092816 is 308396.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 95108092816.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 583485151 + ... + 583485313.

Almost surely, 295108092816 is an apocalyptic number.

95108092816 is the 308396-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95108092816

95108092816 is an abundant number, since it is smaller than the sum of its proper divisors (113538668171).

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

95108092816 is a wasteful number, since it uses less digits than its factorization.

95108092816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 49.

Multiplying 95108092816 by its sum of digits (49), we get a square (4660296547984 = 21587722).

The spelling of 95108092816 in words is "ninety-five billion, one hundred eight million, ninety-two thousand, eight hundred sixteen".

Divisors: 1 2 4 8 11 16 22 43 44 86 88 121 163 172 176 242 326 344 473 484 652 688 946 968 1304 1793 1849 1892 1936 2608 3586 3698 3784 5203 7009 7172 7396 7568 10406 14018 14344 14792 19723 20339 20812 26569 28036 28688 29584 39446 40678 41624 53138 56072 77099 78892 81356 83248 106276 112144 154198 157784 162712 212552 223729 292259 301387 308396 315568 325424 425104 447458 584518 602774 616792 848089 894916 1142467 1169036 1205548 1233584 1696178 1789832 2284934 2338072 2411096 3214849 3315257 3392356 3579664 4569868 4676144 4822192 6429698 6630514 6784712 9139736 12567137 12859396 13261028 13569424 18279472 25134274 25718792 26522056 36467827 49126081 50268548 51437584 53044112 72935654 98252162 100537096 138238507 145871308 196504324 201074192 276477014 291742616 393008648 540386891 552954028 583485232 786017296 1080773782 1105908056 2161547564 2211816112 4323095128 5944255801 8646190256 11888511602 23777023204 47554046408 95108092816