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3138791136 = 253133118087
BaseRepresentation
bin1011101100010110…
…0010011011100000
322002202012002222120
42323011202123200
522412012304021
61235243104240
7140532166365
oct27305423340
98082162876
103138791136
111370847268
12737212080
133b038a580
1421ac1446c
1513585c2c6
hexbb1626e0

3138791136 has 96 divisors (see below), whose sum is σ = 8902752768. Its totient is φ = 962557440.

The previous prime is 3138791119. The next prime is 3138791167. The reversal of 3138791136 is 6311978313.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 384085 + ... + 392171.

It is an arithmetic number, because the mean of its divisors is an integer number (92737008).

Almost surely, 23138791136 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 3138791136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4451376384).

3138791136 is an abundant number, since it is smaller than the sum of its proper divisors (5763961632).

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

3138791136 is a wasteful number, since it uses less digits than its factorization.

3138791136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8424 (or 8416 counting only the distinct ones).

The product of its digits is 81648, while the sum is 42.

The square root of 3138791136 is about 56024.9153145277. The cubic root of 3138791136 is about 1464.1564077870.

The spelling of 3138791136 in words is "three billion, one hundred thirty-eight million, seven hundred ninety-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 311 312 416 622 624 933 1244 1248 1866 2488 3732 4043 4976 7464 8086 8087 9952 12129 14928 16172 16174 24258 24261 29856 32344 32348 48516 48522 64688 64696 97032 97044 105131 129376 129392 194064 194088 210262 258784 315393 388128 388176 420524 630786 776352 841048 1261572 1682096 2515057 2523144 3364192 5030114 5046288 7545171 10060228 10092576 15090342 20120456 30180684 32695741 40240912 60361368 65391482 80481824 98087223 120722736 130782964 196174446 241445472 261565928 392348892 523131856 784697784 1046263712 1569395568 3138791136