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9977753012058 = 2331397773189559
BaseRepresentation
bin1001000100110010000001…
…1011001000011101011010
31022022212022202121011121000
42101030200123020131122
52301433414232341213
633115414430525430
72046604010150166
oct221144033103532
938285282534530
109977753012058
1131a75a5501777
121151909366876
13574b8a0a9b30
14266cd6657ca6
15124826cc7c73
hex913206c875a

9977753012058 has 128 divisors (see below), whose sum is σ = 24155888601600. Its totient is φ = 3034480859136.

The previous prime is 9977753012047. The next prime is 9977753012077. The reversal of 9977753012058 is 8502103577799.

9977753012058 is a `hidden beast` number, since 9 + 9 + 7 + 77 + 530 + 1 + 20 + 5 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 9977753011986 and 9977753012004.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52541883 + ... + 52731441.

It is an arithmetic number, because the mean of its divisors is an integer number (188717879700).

Almost surely, 29977753012058 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9977753012058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12077944300800).

9977753012058 is an abundant number, since it is smaller than the sum of its proper divisors (14178135589542).

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

9977753012058 is a wasteful number, since it uses less digits than its factorization.

9977753012058 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190453 (or 190447 counting only the distinct ones).

The product of its (nonzero) digits is 33339600, while the sum is 63.

The spelling of 9977753012058 in words is "nine trillion, nine hundred seventy-seven billion, seven hundred fifty-three million, twelve thousand, fifty-eight".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 97 117 194 234 291 351 582 702 773 873 1261 1546 1746 2319 2522 2619 3783 4638 5238 6957 7566 10049 11349 13914 20098 20871 22698 30147 34047 41742 60294 68094 74981 90441 149962 180882 189559 224943 271323 379118 449886 542646 568677 674829 974753 1137354 1349658 1706031 1949506 2024487 2464267 2924259 3412062 4048974 4928534 5118093 5848518 7392801 8772777 10236186 14785602 17545554 18387223 22178403 26318331 36774446 44356806 52636662 55161669 66535209 110323338 133070418 146529107 165485007 239033899 293058214 330970014 439587321 478067798 496455021 717101697 879174642 992910042 1318761963 1434203394 1904878391 2151305091 2637523926 3809756782 3956285889 4302610182 5714635173 6453915273 7912571778 11429270346 12907830546 14213323379 17143905519 28426646758 34287811038 42639970137 51431716557 85279940274 102863433114 127919910411 184773203927 255839820822 369546407854 383759731233 554319611781 767519462466 1108639223562 1662958835343 3325917670686 4988876506029 9977753012058