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3157783680 = 27356132683
BaseRepresentation
bin1011110000110111…
…1111010010000000
322011001221000212010
42330031333102000
522431343034210
61241202132520
7141152501262
oct27415772200
98131830763
103157783680
111380539687
12741651140
133b42aa26c
1421d559b32
1513735e920
hexbc37f480

3157783680 has 128 divisors (see below), whose sum is σ = 10085613120. Its totient is φ = 840388608.

The previous prime is 3157783669. The next prime is 3157783693. The reversal of 3157783680 is 863877513.

3157783680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1175619 + ... + 1178301.

Almost surely, 23157783680 is an apocalyptic number.

3157783680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3157783680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5042806560).

3157783680 is an abundant number, since it is smaller than the sum of its proper divisors (6927829440).

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

3157783680 is a wasteful number, since it uses less digits than its factorization.

3157783680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3318 (or 3306 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The square root of 3157783680 is about 56194.1605507191. The cubic root of 3157783680 is about 1467.1036310510.

The spelling of 3157783680 in words is "three billion, one hundred fifty-seven million, seven hundred eighty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 613 640 960 1226 1839 1920 2452 2683 3065 3678 4904 5366 6130 7356 8049 9195 9808 10732 12260 13415 14712 16098 18390 19616 21464 24520 26830 29424 32196 36780 39232 40245 42928 49040 53660 58848 64392 73560 78464 80490 85856 98080 107320 117696 128784 147120 160980 171712 196160 214640 235392 257568 294240 321960 343424 392320 429280 515136 588480 643920 858560 1030272 1176960 1287840 1644679 1717120 2575680 3289358 4934037 5151360 6578716 8223395 9868074 13157432 16446790 19736148 24670185 26314864 32893580 39472296 49340370 52629728 65787160 78944592 98680740 105259456 131574320 157889184 197361480 210518912 263148640 315778368 394722960 526297280 631556736 789445920 1052594560 1578891840 3157783680