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3149789472 = 253231714969
BaseRepresentation
bin1011101110111101…
…1111100100100000
322010111212212212100
42323233133210200
522422321230342
61240314530400
7141024524454
oct27357374440
98114785770
103149789472
111376a794a5
1273aa36a00
133b273b66b
1421c478664
151367d0e4c
hexbbbdf920

3149789472 has 144 divisors (see below), whose sum is σ = 9378270720. Its totient is φ = 1001548800.

The previous prime is 3149789471. The next prime is 3149789491. The reversal of 3149789472 is 2749879413.

3149789472 is a `hidden beast` number, since 3 + 1 + 4 + 97 + 89 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (3149789471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 631404 + ... + 636372.

It is an arithmetic number, because the mean of its divisors is an integer number (65126880).

Almost surely, 23149789472 is an apocalyptic number.

3149789472 is a gapful number since it is divisible by the number (32) 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 3149789472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4689135360).

3149789472 is an abundant number, since it is smaller than the sum of its proper divisors (6228481248).

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

3149789472 is a wasteful number, since it uses less digits than its factorization.

3149789472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5087 (or 5076 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The square root of 3149789472 is about 56122.9852377794. The cubic root of 3149789472 is about 1465.8645507530.

The spelling of 3149789472 in words is "three billion, one hundred forty-nine million, seven hundred eighty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 71 72 93 96 124 142 144 186 213 248 279 284 288 372 426 496 558 568 639 744 852 992 1116 1136 1278 1488 1704 2201 2232 2272 2556 2976 3408 4402 4464 4969 5112 6603 6816 8804 8928 9938 10224 13206 14907 17608 19809 19876 20448 26412 29814 35216 39618 39752 44721 52824 59628 70432 79236 79504 89442 105648 119256 154039 158472 159008 178884 211296 238512 308078 316944 352799 357768 462117 477024 616156 633888 705598 715536 924234 1058397 1232312 1386351 1411196 1431072 1848468 2116794 2464624 2772702 2822392 3175191 3696936 4233588 4929248 5545404 5644784 6350382 7393872 8467176 10936769 11090808 11289568 12700764 14787744 16934352 21873538 22181616 25401528 32810307 33868704 43747076 44363232 50803056 65620614 87494152 98430921 101606112 131241228 174988304 196861842 262482456 349976608 393723684 524964912 787447368 1049929824 1574894736 3149789472