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2139742512 = 2432311493217
BaseRepresentation
bin111111110001001…
…1110000100110000
312112010022011220200
41333202132010300
513340233230022
6552154035200
7104011340235
oct17742360460
95463264820
102139742512
119a8913246
124b8718b00
132813c443b
1416427378c
15c7cb7bac
hex7f89e130

2139742512 has 120 divisors (see below), whose sum is σ = 6224899200. Its totient is φ = 685393920.

The previous prime is 2139742499. The next prime is 2139742531. The reversal of 2139742512 is 2152479312.

2139742512 is a `hidden beast` number, since 2 + 13 + 97 + 42 + 512 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 663528 + ... + 666744.

It is an arithmetic number, because the mean of its divisors is an integer number (51874160).

Almost surely, 22139742512 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 2139742512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3112449600).

2139742512 is an abundant number, since it is smaller than the sum of its proper divisors (4085156688).

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

2139742512 is a wasteful number, since it uses less digits than its factorization.

2139742512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3411 (or 3402 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 2139742512 is about 46257.3508969115. The cubic root of 2139742512 is about 1288.6070560201.

The spelling of 2139742512 in words is "two billion, one hundred thirty-nine million, seven hundred forty-two thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 149 186 248 279 298 372 447 496 558 596 744 894 1116 1192 1341 1488 1788 2232 2384 2682 3217 3576 4464 4619 5364 6434 7152 9238 9651 10728 12868 13857 18476 19302 21456 25736 27714 28953 36952 38604 41571 51472 55428 57906 73904 77208 83142 99727 110856 115812 154416 166284 199454 221712 231624 299181 332568 398908 463248 479333 598362 665136 797816 897543 958666 1196724 1437999 1595632 1795086 1917332 2393448 2875998 3590172 3834664 4313997 4786896 5751996 7180344 7669328 8627994 11503992 14360688 14859323 17255988 23007984 29718646 34511976 44577969 59437292 69023952 89155938 118874584 133733907 178311876 237749168 267467814 356623752 534935628 713247504 1069871256 2139742512