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11994617152 = 267297312647
BaseRepresentation
bin10110010101110111…
…10101010101000000
31010221220222200110201
423022323311111000
5144031110222102
65302114134544
7603144364210
oct131273652500
933856880421
1011994617152
1150a5715441
1223a8b81454
131191ccb6cb
1481b01a240
154a305a987
hex2caef5540

11994617152 has 112 divisors (see below), whose sum is σ = 28527816960. Its totient is φ = 4894912512.

The previous prime is 11994617149. The next prime is 11994617161. The reversal of 11994617152 is 25171649911.

11994617152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×119946171522 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 942093 + ... + 954739.

Almost surely, 211994617152 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 11994617152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14263908480).

11994617152 is an abundant number, since it is smaller than the sum of its proper divisors (16533199808).

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

11994617152 is a wasteful number, since it uses less digits than its factorization.

11994617152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12768 (or 12758 counting only the distinct ones).

The product of its digits is 136080, while the sum is 46.

The spelling of 11994617152 in words is "eleven billion, nine hundred ninety-four million, six hundred seventeen thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 73 112 116 146 203 224 232 292 406 448 464 511 584 812 928 1022 1168 1624 1856 2044 2117 2336 3248 4088 4234 4672 6496 8176 8468 12647 12992 14819 16352 16936 25294 29638 32704 33872 50588 59276 67744 88529 101176 118552 135488 177058 202352 237104 354116 366763 404704 474208 708232 733526 809408 923231 948416 1416464 1467052 1846462 2567341 2832928 2934104 3692924 5134682 5665856 5868208 6462617 7385848 10269364 11736416 12925234 14771696 20538728 23472832 25850468 26773699 29543392 41077456 51700936 53547398 59086784 82154912 103401872 107094796 164309824 187415893 206803744 214189592 374831786 413607488 428379184 749663572 856758368 1499327144 1713516736 2998654288 5997308576 11994617152