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11952171389352 = 23317232541150123
BaseRepresentation
bin1010110111101101010011…
…1011100001000110101000
31120022121122101002221101110
42231323110323201012220
53031311021333424402
641230430212550320
72342341643354655
oct255732473410650
946277571087343
1011952171389352
11389898417a807
1214104b20223a0
13689114774a3c
142d46b97dcc2c
1515ad83ee556c
hexaded4ee11a8

11952171389352 has 128 divisors (see below), whose sum is σ = 33015628200960. Its totient is φ = 3586457656320.

The previous prime is 11952171389341. The next prime is 11952171389383. The reversal of 11952171389352 is 25398317125911.

It is a junction number, because it is equal to n+sod(n) for n = 11952171389292 and 11952171389301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 238431763 + ... + 238481885.

It is an arithmetic number, because the mean of its divisors is an integer number (257934595320).

Almost surely, 211952171389352 is an apocalyptic number.

11952171389352 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 11952171389352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16507814100480).

11952171389352 is an abundant number, since it is smaller than the sum of its proper divisors (21063456811608).

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

11952171389352 is a wasteful number, since it uses less digits than its factorization.

11952171389352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75583 (or 75579 counting only the distinct ones).

The product of its digits is 4082400, while the sum is 57.

The spelling of 11952171389352 in words is "eleven trillion, nine hundred fifty-two billion, one hundred seventy-one million, three hundred eighty-nine thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 17 23 24 34 46 51 68 69 92 102 136 138 184 204 276 391 408 552 782 1173 1564 2346 3128 4692 9384 25411 50123 50822 76233 100246 101644 150369 152466 200492 203288 300738 304932 400984 431987 584453 601476 609864 852091 863974 1152829 1168906 1202952 1295961 1704182 1727948 1753359 2305658 2337812 2556273 2591922 3408364 3455896 3458487 3506718 4611316 4675624 5112546 5183844 6816728 6916974 7013436 9222632 9935701 10225092 10367688 13833948 14026872 19598093 19871402 20450184 27667896 29807103 39196186 39742804 58794279 59614206 78392372 79485608 117588558 119228412 156784744 235177116 238456824 470354232 1273675553 2547351106 3821026659 5094702212 7642053318 10189404424 15284106636 21652484401 29294537719 30568213272 43304968802 58589075438 64957453203 86609937604 87883613157 117178150876 129914906406 173219875208 175767226314 234356301752 259829812812 351534452628 498007141223 519659625624 703068905256 996014282446 1494021423669 1992028564892 2988042847338 3984057129784 5976085694676 11952171389352