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102923142736386 = 23741731439568979
BaseRepresentation
bin10111011001101110101001…
…010111001010101000000010
3111111102100121210002021120210
4113121232221113022220002
5101442243044020031021
61002522123344214550
730451644265345440
oct2731565127125002
9444370553067523
10102923142736386
112a881506968175
12b66324030a456
1345577c298026b
141b5b7144cdb90
15bd74018d0e76
hex5d9ba95caa02

102923142736386 has 128 divisors (see below), whose sum is σ = 244462211481600. Its totient is φ = 28276658979840.

The previous prime is 102923142736373. The next prime is 102923142736423. The reversal of 102923142736386 is 683637241329201.

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 63 ways as a sum of consecutive naturals, for example, 180606445 + ... + 181175423.

It is an arithmetic number, because the mean of its divisors is an integer number (1909861027200).

Almost surely, 2102923142736386 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102923142736386, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122231105740800).

102923142736386 is an abundant number, since it is smaller than the sum of its proper divisors (141539068745214).

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

102923142736386 is a wasteful number, since it uses less digits than its factorization.

102923142736386 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570544.

The product of its (nonzero) digits is 15676416, while the sum is 57.

The spelling of 102923142736386 in words is "one hundred two trillion, nine hundred twenty-three billion, one hundred forty-two million, seven hundred thirty-six thousand, three hundred eighty-six".

Divisors: 1 2 3 6 7 14 21 41 42 73 82 123 146 219 246 287 438 511 574 861 1022 1439 1533 1722 2878 2993 3066 4317 5986 8634 8979 10073 17958 20146 20951 30219 41902 58999 60438 62853 105047 117998 125706 176997 210094 315141 353994 412993 568979 630282 735329 825986 1137958 1238979 1470658 1706937 2205987 2477958 3413874 3982853 4306927 4411974 7965706 8613854 11948559 12920781 23328139 23897118 25841562 30148489 41535467 46656278 60296978 69984417 83070934 90445467 124606401 139968834 163296973 180890934 249212802 290748269 326593946 489890919 581496538 818760781 872244807 979781838 1637521562 1702954147 1744489614 2456282343 3405908294 4912564686 5108862441 5731325467 10217724882 11462650934 11920679029 17193976401 23841358058 33569192021 34387952802 35762037087 59769537013 67138384042 71524074174 100707576063 119539074026 179308611039 201415152126 234984344147 358617222078 418386759091 469968688294 704953032441 836773518182 1255160277273 1409906064882 2450551017533 2510320554546 4901102035066 7351653052599 14703306105198 17153857122731 34307714245462 51461571368193 102923142736386