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102380196726 = 2354718124763
BaseRepresentation
bin101111101011001010…
…1011101001101110110
3100210021001101212100000
41133112111131031312
53134133312243401
6115011030532130
710253035212363
oct1372625351566
9323231355300
10102380196726
113a467a52135
1217a12b07046
139867983682
144d5320746a
1529e319d186
hex17d655d376

102380196726 has 96 divisors (see below), whose sum is σ = 236241427968. Its totient is φ = 33214756320.

The previous prime is 102380196673. The next prime is 102380196727. The reversal of 102380196726 is 627691083201.

102380196726 is a `hidden beast` number, since 10 + 2 + 380 + 196 + 72 + 6 = 666.

It is a super-2 number, since 2×1023801967262 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102380196727) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 4122021 + ... + 4146783.

It is an arithmetic number, because the mean of its divisors is an integer number (2460848208).

Almost surely, 2102380196726 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102380196726, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118120713984).

102380196726 is an abundant number, since it is smaller than the sum of its proper divisors (133861231242).

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

102380196726 is a wasteful number, since it uses less digits than its factorization.

102380196726 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25008 (or 24996 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 102380196726 in words is "one hundred two billion, three hundred eighty million, one hundred ninety-six thousand, seven hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 47 54 81 94 141 162 181 243 282 362 423 486 543 846 1086 1269 1629 2538 3258 3807 4887 7614 8507 9774 11421 14661 17014 22842 24763 25521 29322 43983 49526 51042 74289 76563 87966 148578 153126 222867 229689 445734 459378 668601 689067 1163861 1337202 1378134 2005803 2067201 2327722 3491583 4011606 4134402 4482103 6017409 6983166 8964206 10474749 12034818 13446309 20949498 26892618 31424247 40338927 62848494 80677854 94272741 121016781 188545482 210658841 242033562 282818223 363050343 421317682 565636446 631976523 726100686 1089151029 1263953046 1895929569 2178302058 3791859138 5687788707 11375577414 17063366121 34126732242 51190098363 102380196726