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3916300968 = 2333151167719
BaseRepresentation
bin1110100101101110…
…0000001010101000
3101002221012200222000
43221123200022220
531010033112333
61444335531000
7166023003036
oct35133401250
911087180860
103916300968
11172a716978
12913689a60
134a5497768
142921a7556
1517dc40713
hexe96e02a8

3916300968 has 128 divisors (see below), whose sum is σ = 11031552000. Its totient is φ = 1287230400.

The previous prime is 3916300939. The next prime is 3916301009. The reversal of 3916300968 is 8690036193.

3916300968 is a `hidden beast` number, since 3 + 9 + 1 + 630 + 0 + 9 + 6 + 8 = 666.

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, 5446513 + ... + 5447231.

It is an arithmetic number, because the mean of its divisors is an integer number (86184000).

Almost surely, 23916300968 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 3916300968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5515776000).

3916300968 is an abundant number, since it is smaller than the sum of its proper divisors (7115251032).

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

3916300968 is a wasteful number, since it uses less digits than its factorization.

3916300968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 3916300968 is about 62580.3560871940. The cubic root of 3916300968 is about 1576.2509209503.

The spelling of 3916300968 in words is "three billion, nine hundred sixteen million, three hundred thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 151 167 216 302 334 453 501 604 668 719 906 1002 1208 1336 1359 1438 1503 1812 2004 2157 2718 2876 3006 3624 4008 4077 4314 4509 5436 5752 6012 6471 8154 8628 9018 10872 12024 12942 16308 17256 18036 19413 25217 25884 32616 36072 38826 50434 51768 75651 77652 100868 108569 120073 151302 155304 201736 217138 226953 240146 302604 325707 360219 434276 453906 480292 605208 651414 680859 720438 868552 907812 960584 977121 1080657 1302828 1361718 1440876 1815624 1954242 2161314 2605656 2723436 2881752 2931363 3241971 3908484 4322628 5446872 5862726 6483942 7816968 8645256 11725452 12967884 18131023 23450904 25935768 36262046 54393069 72524092 108786138 145048184 163179207 217572276 326358414 435144552 489537621 652716828 979075242 1305433656 1958150484 3916300968