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11933741952 = 273211941741
BaseRepresentation
bin10110001110100111…
…00111001110000000
31010210200102220101200
423013103213032000
5143420014220302
65252101301200
7601505063406
oct130723471600
933720386350
1011933741952
115074316a60
122390704800
131182506292
14812cd1476
1549ca3381c
hex2c74e7380

11933741952 has 96 divisors (see below), whose sum is σ = 37462496760. Its totient is φ = 3616281600.

The previous prime is 11933741933. The next prime is 11933741971. The reversal of 11933741952 is 25914733911.

11933741952 is a `hidden beast` number, since 1 + 1 + 93 + 374 + 195 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (11933741933) and next prime (11933741971).

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 11933741898 and 11933741907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 458199 + ... + 483542.

Almost surely, 211933741952 is an apocalyptic number.

11933741952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11933741952 is an abundant number, since it is smaller than the sum of its proper divisors (25528754808).

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

11933741952 is a wasteful number, since it uses less digits than its factorization.

11933741952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941772 (or 941757 counting only the distinct ones).

The product of its digits is 204120, while the sum is 45.

The spelling of 11933741952 in words is "eleven billion, nine hundred thirty-three million, seven hundred forty-one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 264 288 352 384 396 528 576 704 792 1056 1152 1408 1584 2112 3168 4224 6336 12672 941741 1883482 2825223 3766964 5650446 7533928 8475669 10359151 11300892 15067856 16951338 20718302 22601784 30135712 31077453 33902676 41436604 45203568 60271424 62154906 67805352 82873208 90407136 93232359 120542848 124309812 135610704 165746416 180814272 186464718 248619624 271221408 331492832 361628544 372929436 497239248 542442816 662985664 745858872 994478496 1084885632 1325971328 1491717744 1988956992 2983435488 3977913984 5966870976 11933741952