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1137714012 = 223431227499
BaseRepresentation
bin100001111010000…
…0010001101011100
32221021210212020000
41003310002031130
54312223322022
6304521054300
740123260321
oct10364021534
92837725200
101137714012
11534234416
12279027390
13151926b76
14ab158b48
1569d356ac
hex43d0235c

1137714012 has 120 divisors (see below), whose sum is σ = 3089856000. Its totient is φ = 364655520.

The previous prime is 1137713971. The next prime is 1137714013. The reversal of 1137714012 is 2104177311.

It is a super-2 number, since 2×11377140122 = 2588786346202272288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1137714013) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 2279739 + ... + 2280237.

It is an arithmetic number, because the mean of its divisors is an integer number (25748800).

Almost surely, 21137714012 is an apocalyptic number.

1137714012 is a gapful number since it is divisible by the number (12) 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 1137714012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1544928000).

1137714012 is an abundant number, since it is smaller than the sum of its proper divisors (1952141988).

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

1137714012 is a wasteful number, since it uses less digits than its factorization.

1137714012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The square root of 1137714012 is about 33730.0164838382. The cubic root of 1137714012 is about 1043.9452012458.

The spelling of 1137714012 in words is "one billion, one hundred thirty-seven million, seven hundred fourteen thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 124 162 186 227 279 324 372 454 499 558 681 837 908 998 1116 1362 1497 1674 1996 2043 2511 2724 2994 3348 4086 4491 5022 5988 6129 7037 8172 8982 10044 12258 13473 14074 15469 17964 18387 21111 24516 26946 28148 30938 36774 40419 42222 46407 53892 61876 63333 73548 80838 84444 92814 113273 126666 139221 161676 185628 189999 226546 253332 278442 339819 379998 417663 453092 556884 569997 679638 759996 835326 1019457 1139994 1252989 1359276 1670652 2038914 2279988 2505978 3058371 3511463 4077828 5011956 6116742 7022926 9175113 10534389 12233484 14045852 18350226 21068778 31603167 36700452 42137556 63206334 94809501 126412668 189619002 284428503 379238004 568857006 1137714012