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11913305472 = 273322915053
BaseRepresentation
bin10110001100001011…
…01001110110000000
31010202020222121211000
423012011221312000
5143344301233342
65250051252000
7601136266005
oct130605516600
933666877730
1011913305472
115063828802
1223858aa000
13117b1cc2a3
148102d18ac
1549ad4844c
hex2c6169d80

11913305472 has 128 divisors (see below), whose sum is σ = 35316684000. Its totient is φ = 3953498112.

The previous prime is 11913305461. The next prime is 11913305477. The reversal of 11913305472 is 27450331911.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11913305477) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 783898 + ... + 798950.

Almost surely, 211913305472 is an apocalyptic number.

11913305472 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 11913305472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17658342000).

11913305472 is an abundant number, since it is smaller than the sum of its proper divisors (23403378528).

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

11913305472 is a wasteful number, since it uses less digits than its factorization.

11913305472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15305 (or 15287 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 11913305472 in words is "eleven billion, nine hundred thirteen million, three hundred five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 229 288 384 432 458 576 687 864 916 1152 1374 1728 1832 2061 2748 3456 3664 4122 5496 6183 7328 8244 10992 12366 14656 15053 16488 21984 24732 29312 30106 32976 43968 45159 49464 60212 65952 87936 90318 98928 120424 131904 135477 180636 197856 240848 263808 270954 361272 395712 406431 481696 541908 722544 791424 812862 963392 1083816 1445088 1625724 1926784 2167632 2890176 3251448 3447137 4335264 5780352 6502896 6894274 8670528 10341411 13005792 13788548 17341056 20682822 26011584 27577096 31024233 41365644 52023168 55154192 62048466 82731288 93072699 110308384 124096932 165462576 186145398 220616768 248193864 330925152 372290796 441233536 496387728 661850304 744581592 992775456 1323700608 1489163184 1985550912 2978326368 3971101824 5956652736 11913305472