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102055506485592 = 233117916133033689
BaseRepresentation
bin10111001101000110100110…
…001101100010000101011000
3111101100102002201102000001110
4113031012212031202011120
5101334034134130014332
61001015352532220320
730332160406036032
oct2715064615420530
9441312081360043
10102055506485592
112a577551914150
12b54305a76a6a0
1344c3a401c1a1a
141b2b727456c52
15bbea707934cc
hex5cd1a6362158

102055506485592 has 128 divisors (see below), whose sum is σ = 282031238016000. Its totient is φ = 30515503549440.

The previous prime is 102055506485549. The next prime is 102055506485617. The reversal of 102055506485592 is 295584605550201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32123884 + ... + 35157572.

It is an arithmetic number, because the mean of its divisors is an integer number (2203369047000).

Almost surely, 2102055506485592 is an apocalyptic number.

102055506485592 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 102055506485592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141015619008000).

102055506485592 is an abundant number, since it is smaller than the sum of its proper divisors (179975731530408).

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

102055506485592 is a wasteful number, since it uses less digits than its factorization.

102055506485592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3035401 (or 3035397 counting only the distinct ones).

The product of its (nonzero) digits is 21600000, while the sum is 57.

The spelling of 102055506485592 in words is "one hundred two trillion, fifty-five billion, five hundred six million, four hundred eighty-five thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 79 88 132 158 237 264 316 474 632 869 948 1613 1738 1896 2607 3226 3476 4839 5214 6452 6952 9678 10428 12904 17743 19356 20856 35486 38712 53229 70972 106458 127427 141944 212916 254854 382281 425832 509708 764562 1019416 1401697 1529124 2803394 3033689 3058248 4205091 5606788 6067378 8410182 9101067 11213576 12134756 16820364 18202134 24269512 33370579 33640728 36404268 66741158 72808536 100111737 133482316 200223474 239661431 266964632 400446948 479322862 718984293 800893896 958645724 1437968586 1917291448 2636275741 2875937172 4893340357 5272551482 5751874344 7908827223 9786680714 10545102964 14680021071 15817654446 19573361428 21090205928 29360042142 31635308892 39146722856 53826743927 58720084284 63270617784 107653487854 117440168568 161480231781 215306975708 322960463562 386573888203 430613951416 645920927124 773147776406 1159721664609 1291841854248 1546295552812 2319443329218 3092591105624 4252312770233 4638886658436 8504625540466 9277773316872 12756938310699 17009251080932 25513876621398 34018502161864 51027753242796 102055506485592