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95215308672 = 2731143524221
BaseRepresentation
bin101100010101101000…
…1100100111110000000
3100002202201101211122210
41120223101210332000
53030000104334142
6111424042302120
76610344525051
oct1305321447600
9302681354583
1095215308672
1137420617750
12165534b7940
138c95468143
144873808728
15272416349c
hex162b464f80

95215308672 has 128 divisors (see below), whose sum is σ = 282325000320. Its totient is φ = 28182067200.

The previous prime is 95215308613. The next prime is 95215308731. The reversal of 95215308672 is 27680351259.

95215308672 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (95215308613) and next prime (95215308731).

It is a tau number, because it is divible by the number of its divisors (128).

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

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, 80479 + ... + 443742.

It is an arithmetic number, because the mean of its divisors is an integer number (2205664065).

Almost surely, 295215308672 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 95215308672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141162500160).

95215308672 is an abundant number, since it is smaller than the sum of its proper divisors (187109691648).

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

95215308672 is a wasteful number, since it uses less digits than its factorization.

95215308672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524292 (or 524280 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 48.

The spelling of 95215308672 in words is "ninety-five billion, two hundred fifteen million, three hundred eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 43 44 48 64 66 86 88 96 128 129 132 172 176 192 258 264 344 352 384 473 516 528 688 704 946 1032 1056 1376 1408 1419 1892 2064 2112 2752 2838 3784 4128 4224 5504 5676 7568 8256 11352 15136 16512 22704 30272 45408 60544 90816 181632 524221 1048442 1572663 2096884 3145326 4193768 5766431 6290652 8387536 11532862 12581304 16775072 17299293 22541503 23065724 25162608 33550144 34598586 45083006 46131448 50325216 67100288 67624509 69197172 90166012 92262896 100650432 135249018 138394344 180332024 184525792 201300864 247956533 270498036 276788688 360664048 369051584 495913066 540996072 553577376 721328096 738103168 743869599 991826132 1081992144 1107154752 1442656192 1487739198 1983652264 2163984288 2214309504 2885312384 2975478396 3967304528 4327968576 5950956792 7934609056 8655937152 11901913584 15869218112 23803827168 31738436224 47607654336 95215308672