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3850195680 = 25345297083
BaseRepresentation
bin1110010101111101…
…0101001011100000
3100221022211012120000
43211133111023200
530341122230210
61434015020000
7164261060202
oct34537251340
910838735500
103850195680
1116a6376001
128b550a600
134948908c6
142874ba772
15178033ac0
hexe57d52e0

3850195680 has 120 divisors (see below), whose sum is σ = 13588027992. Its totient is φ = 1026715392.

The previous prime is 3850195639. The next prime is 3850195693. The reversal of 3850195680 is 865910583.

3850195680 is a `hidden beast` number, since 3 + 85 + 0 + 1 + 9 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 135582 + ... + 161501.

Almost surely, 23850195680 is an apocalyptic number.

3850195680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3850195680 is an abundant number, since it is smaller than the sum of its proper divisors (9737832312).

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

3850195680 is a wasteful number, since it uses less digits than its factorization.

3850195680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297110 (or 297093 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 3850195680 is about 62049.9450442948. The cubic root of 3850195680 is about 1567.3317600621.

The spelling of 3850195680 in words is "three billion, eight hundred fifty million, one hundred ninety-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 270 288 324 360 405 432 480 540 648 720 810 864 1080 1296 1440 1620 2160 2592 3240 4320 6480 12960 297083 594166 891249 1188332 1485415 1782498 2376664 2673747 2970830 3564996 4456245 4753328 5347494 5941660 7129992 8021241 8912490 9506656 10694988 11883320 13368735 14259984 16042482 17824980 21389976 23766640 24063723 26737470 28519968 32084964 35649960 40106205 42779952 47533280 48127446 53474940 64169928 71299920 80212410 85559904 96254892 106949880 120318615 128339856 142599840 160424820 192509784 213899760 240637230 256679712 320849640 385019568 427799520 481274460 641699280 770039136 962548920 1283398560 1925097840 3850195680