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11639133396 = 223211314911931
BaseRepresentation
bin10101101011011111…
…10001010011010100
31010001011002020102200
422311233301103110
5142314104232041
65202535004500
7561300000342
oct126557612324
933034066380
1011639133396
114a32a95210
122309b09730
1311364754a7
147c5b22992
15481c3c1b6
hex2b5bf14d4

11639133396 has 144 divisors (see below), whose sum is σ = 33215809536. Its totient is φ = 3404520000.

The previous prime is 11639133379. The next prime is 11639133413. The reversal of 11639133396 is 69333193611.

11639133396 is a `hidden beast` number, since 1 + 1 + 639 + 1 + 3 + 3 + 3 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (11639133379) and next prime (11639133413).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6026551 + ... + 6028481.

It is an arithmetic number, because the mean of its divisors is an integer number (230665344).

Almost surely, 211639133396 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 11639133396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16607904768).

11639133396 is an abundant number, since it is smaller than the sum of its proper divisors (21576676140).

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

11639133396 is a wasteful number, since it uses less digits than its factorization.

11639133396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2474 (or 2469 counting only the distinct ones).

The product of its digits is 236196, while the sum is 45.

The spelling of 11639133396 in words is "eleven billion, six hundred thirty-nine million, one hundred thirty-three thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 31 33 36 44 62 66 93 99 124 132 186 198 279 341 372 396 491 558 682 982 1023 1116 1364 1473 1931 1964 2046 2946 3069 3862 4092 4419 5401 5793 5892 6138 7724 8838 10802 11586 12276 15221 16203 17379 17676 21241 21604 23172 30442 32406 34758 42482 45663 48609 59861 60884 63723 64812 69516 84964 91326 97218 119722 127446 136989 167431 179583 182652 191169 194436 239444 254892 273978 334862 359166 382338 502293 538749 547956 658471 669724 718332 764676 948121 1004586 1077498 1316942 1506879 1896242 1975413 2009172 2154996 2633884 2844363 3013758 3792484 3950826 5688726 5926239 6027516 7901652 8533089 10429331 11377452 11852478 17066178 20858662 23704956 29391751 31287993 34132356 41717324 58783502 62575986 88175253 93863979 117567004 125151972 176350506 187727958 264525759 323309261 352701012 375455916 529051518 646618522 969927783 1058103036 1293237044 1939855566 2909783349 3879711132 5819566698 11639133396