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130552447968 = 25321941581909
BaseRepresentation
bin111100110010110001…
…0000100001111100000
3110110222102110111202200
41321211202010033200
54114332411313333
6135550332013200
712301132332555
oct1714542041740
9413872414680
10130552447968
11504044a94a8
1221375901200
13c407491317
1464669d4a2c
1535e15dbc13
hex1e658843e0

130552447968 has 144 divisors (see below), whose sum is σ = 400330803600. Its totient is φ = 40221480960.

The previous prime is 130552447967. The next prime is 130552447969. The reversal of 130552447968 is 869744255031.

It is a happy number.

130552447968 is a `hidden beast` number, since 1 + 305 + 5 + 244 + 7 + 96 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (130552447967) and next prime (130552447969).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130552447967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66603 + ... + 515306.

It is an arithmetic number, because the mean of its divisors is an integer number (2780075025).

It is a 1-persistent number, because it is pandigital, but 2⋅130552447968 = 261104895936 is not.

Almost surely, 2130552447968 is an apocalyptic number.

130552447968 is a gapful number since it is divisible by the number (18) 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 130552447968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200165401800).

130552447968 is an abundant number, since it is smaller than the sum of its proper divisors (269778355632).

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

130552447968 is a wasteful number, since it uses less digits than its factorization.

130552447968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581985 (or 581974 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 130552447968 in words is "one hundred thirty billion, five hundred fifty-two million, four hundred forty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 41 48 57 72 76 82 96 114 123 144 152 164 171 228 246 288 304 328 342 369 456 492 608 656 684 738 779 912 984 1312 1368 1476 1558 1824 1968 2337 2736 2952 3116 3936 4674 5472 5904 6232 7011 9348 11808 12464 14022 18696 24928 28044 37392 56088 74784 112176 224352 581909 1163818 1745727 2327636 3491454 4655272 5237181 6982908 9310544 10474362 11056271 13965816 18621088 20948724 22112542 23858269 27931632 33168813 41897448 44225084 47716538 55863264 66337626 71574807 83794896 88450168 95433076 99506439 132675252 143149614 167589792 176900336 190866152 199012878 214724421 265350504 286299228 353800672 381732304 398025756 429448842 453307111 530701008 572598456 763464608 796051512 858897684 906614222 1061402016 1145196912 1359921333 1592103024 1717795368 1813228444 2290393824 2719842666 3184206048 3435590736 3626456888 4079763999 5439685332 6871181472 7252913776 8159527998 10879370664 14505827552 16319055996 21758741328 32638111992 43517482656 65276223984 130552447968