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3189113640 = 2333517173699
BaseRepresentation
bin1011111000010110…
…0000001100101000
322020020212202111000
42332011200030220
523012403114030
61244241435000
7142013006256
oct27605401450
98206782430
103189113640
111397198309
1275003ba60
133ba9296bb
142237935d6
15139e9c860
hexbe160328

3189113640 has 128 divisors (see below), whose sum is σ = 11255760000. Its totient is φ = 800400384.

The previous prime is 3189113621. The next prime is 3189113687. The reversal of 3189113640 is 463119813.

3189113640 is a `hidden beast` number, since 3 + 1 + 8 + 9 + 1 + 1 + 3 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3189113595 and 3189113604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68490 + ... + 105209.

It is an arithmetic number, because the mean of its divisors is an integer number (87935625).

Almost surely, 23189113640 is an apocalyptic number.

3189113640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3189113640 is an abundant number, since it is smaller than the sum of its proper divisors (8066646360).

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

3189113640 is a wasteful number, since it uses less digits than its factorization.

3189113640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173736 (or 173726 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 3189113640 is about 56472.2377810549. The cubic root of 3189113640 is about 1471.9396303317.

The spelling of 3189113640 in words is "three billion, one hundred eighty-nine million, one hundred thirteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 27 30 34 36 40 45 51 54 60 68 72 85 90 102 108 120 135 136 153 170 180 204 216 255 270 306 340 360 408 459 510 540 612 680 765 918 1020 1080 1224 1530 1836 2040 2295 3060 3672 4590 6120 9180 18360 173699 347398 521097 694796 868495 1042194 1389592 1563291 1736990 2084388 2605485 2952883 3126582 3473980 4168776 4689873 5210970 5905766 6253164 6947960 7816455 8858649 9379746 10421940 11811532 12506328 14764415 15632910 17717298 18759492 20843880 23449365 23623064 26575947 29528830 31265820 35434596 37518984 44293245 46898730 53151894 59057660 62531640 70869192 79727841 88586490 93797460 106303788 118115320 132879735 159455682 177172980 187594920 212607576 265759470 318911364 354345960 398639205 531518940 637822728 797278410 1063037880 1594556820 3189113640