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11870206152 = 2337672234729
BaseRepresentation
bin10110000111000010…
…01111100011001000
31010122020212221122220
423003201033203020
5143302233044102
65241511414040
7600104042010
oct130341174310
933566787586
1011870206152
115041470632
122373384320
1311722bbb2c
148086b2c40
154971831bc
hex2c384f8c8

11870206152 has 128 divisors (see below), whose sum is σ = 34582732800. Its totient is φ = 3325183488.

The previous prime is 11870206151. The next prime is 11870206177. The reversal of 11870206152 is 25160207811.

It is not an unprimeable number, because it can be changed into a prime (11870206151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2507724 + ... + 2512452.

It is an arithmetic number, because the mean of its divisors is an integer number (270177600).

Almost surely, 211870206152 is an apocalyptic number.

11870206152 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 11870206152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17291366400).

11870206152 is an abundant number, since it is smaller than the sum of its proper divisors (22712526648).

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

11870206152 is a wasteful number, since it uses less digits than its factorization.

11870206152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5035 (or 5031 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 33.

The spelling of 11870206152 in words is "eleven billion, eight hundred seventy million, two hundred six thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 67 84 134 168 201 223 268 402 446 469 536 669 804 892 938 1338 1407 1561 1608 1784 1876 2676 2814 3122 3752 4683 4729 5352 5628 6244 9366 9458 11256 12488 14187 14941 18732 18916 28374 29882 33103 37464 37832 44823 56748 59764 66206 89646 99309 104587 113496 119528 132412 179292 198618 209174 264824 313761 316843 358584 397236 418348 627522 633686 794472 836696 950529 1054567 1255044 1267372 1901058 2109134 2217901 2510088 2534744 3163701 3802116 4218268 4435802 6327402 6653703 7381969 7604232 8436536 8871604 12654804 13307406 14763938 17743208 22145907 25309608 26614812 29527876 44291814 53229624 59055752 70655989 88583628 141311978 177167256 211967967 282623956 423935934 494591923 565247912 847871868 989183846 1483775769 1695743736 1978367692 2967551538 3956735384 5935103076 11870206152