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95151232768 = 282971971861
BaseRepresentation
bin101100010011101110…
…1001001011100000000
3100002121020211110001011
41120213131021130000
53024332203422033
6111413433050304
76605636063614
oct1304735113400
9302536743034
1095151232768
1137398432559
1216535b56994
138c850c1bc7
1448690c9344
15271d707ccd
hex1627749700

95151232768 has 144 divisors (see below), whose sum is σ = 201409709760. Its totient is φ = 44797132800.

The previous prime is 95151232703. The next prime is 95151232819. The reversal of 95151232768 is 86723215159.

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, 51128158 + ... + 51130018.

It is an arithmetic number, because the mean of its divisors is an integer number (1398678540).

Almost surely, 295151232768 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 95151232768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100704854880).

95151232768 is an abundant number, since it is smaller than the sum of its proper divisors (106258476992).

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

95151232768 is a wasteful number, since it uses less digits than its factorization.

95151232768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2074 (or 2060 counting only the distinct ones).

The product of its digits is 907200, while the sum is 49.

The spelling of 95151232768 in words is "ninety-five billion, one hundred fifty-one million, two hundred thirty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 29 32 58 64 71 97 116 128 142 194 232 256 284 388 464 568 776 928 1136 1552 1856 1861 2059 2272 2813 3104 3712 3722 4118 4544 5626 6208 6887 7424 7444 8236 9088 11252 12416 13774 14888 16472 18176 22504 24832 27548 29776 32944 45008 53969 55096 59552 65888 90016 107938 110192 119104 131776 132131 180032 180517 199723 215876 220384 238208 263552 264262 360064 361034 399446 431752 440768 476416 527104 528524 720128 722068 798892 863504 881536 1057048 1444136 1597784 1727008 1763072 2114096 2888272 3195568 3454016 3831799 4228192 5234993 5776544 6391136 6908032 7663598 8456384 10469986 11553088 12782272 12816707 13816064 15327196 16912768 20939972 23106176 25564544 25633414 30654392 33825536 41879944 46212352 51129088 51266828 61308784 83759888 102533656 122617568 167519776 205067312 245235136 335039552 371684503 410134624 490470272 670079104 743369006 820269248 980940544 1340158208 1486738012 1640538496 2973476024 3281076992 5946952048 11893904096 23787808192 47575616384 95151232768