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95016966372 = 223217718232657
BaseRepresentation
bin101100001111101110…
…0111101100011100100
3100002020220012000011200
41120133130331203210
53024043320410442
6111352235202500
76602415613446
oct1303734754344
9302226160150
1095016966372
1137329667199
12164b8ba6430
138c63341533
144855338496
152711a3534c
hex161f73d8e4

95016966372 has 144 divisors (see below), whose sum is σ = 258302483712. Its totient is φ = 29342638080.

The previous prime is 95016966371. The next prime is 95016966377. The reversal of 95016966372 is 27366961059.

95016966372 is a `hidden beast` number, since 9 + 50 + 169 + 66 + 372 = 666.

It is a super-3 number, since 3×950169663723 (a number of 34 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (95016966371) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35759668 + ... + 35762324.

It is an arithmetic number, because the mean of its divisors is an integer number (1793767248).

Almost surely, 295016966372 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 95016966372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129151241856).

95016966372 is an abundant number, since it is smaller than the sum of its proper divisors (163285517340).

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

95016966372 is a wasteful number, since it uses less digits than its factorization.

95016966372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3578 (or 3573 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 95016966372 in words is "ninety-five billion, sixteen million, nine hundred sixty-six thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 71 102 142 153 204 213 284 306 426 612 639 823 852 1207 1278 1646 2414 2469 2556 2657 3292 3621 4828 4938 5314 7242 7407 7971 9876 10628 10863 13991 14484 14814 15942 21726 23913 27982 29628 31884 41973 43452 45169 47826 55964 58433 83946 90338 95652 116866 125919 135507 167892 175299 180676 188647 233732 251838 271014 350598 377294 406521 503676 525897 542028 565941 701196 754588 813042 993361 1051794 1131882 1626084 1697823 1986722 2103588 2186711 2263764 2980083 3206999 3395646 3973444 4373422 5960166 6413998 6560133 6791292 8746844 8940249 9620997 11920332 12827996 13120266 17880498 19241994 19680399 26240532 28862991 35760996 37174087 38483988 39360798 57725982 74348174 78721596 111522261 115451964 148696348 155256481 223044522 310512962 334566783 446089044 465769443 621025924 669133566 931538886 1338267132 1397308329 1863077772 2639360177 2794616658 5278720354 5589233316 7918080531 10557440708 15836161062 23754241593 31672322124 47508483186 95016966372