Search a number
-
+
100550506104 = 233213918795347
BaseRepresentation
bin101110110100101000…
…1101111011001111000
3100121112112111221122200
41131221101233121320
53121411412143404
6114105310150200
710156510125366
oct1355121573170
9317475457580
10100550506104
1139709159524
12175a21b2360
1396358993b9
144c1c202636
15293772c839
hex176946f678

100550506104 has 96 divisors (see below), whose sum is σ = 274480752000. Its totient is φ = 33251777856.

The previous prime is 100550506093. The next prime is 100550506127. The reversal of 100550506104 is 401605055001.

It is a happy number.

100550506104 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 50 + 506 + 104 = 666.

It is a super-2 number, since 2×1005505061042 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18802359 + ... + 18807705.

It is an arithmetic number, because the mean of its divisors is an integer number (2859174500).

Almost surely, 2100550506104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100550506104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137240376000).

100550506104 is an abundant number, since it is smaller than the sum of its proper divisors (173930245896).

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

100550506104 is a wasteful number, since it uses less digits than its factorization.

100550506104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7377 (or 7370 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The spelling of 100550506104 in words is "one hundred billion, five hundred fifty million, five hundred six thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 139 278 417 556 834 1112 1251 1668 1879 2502 3336 3758 5004 5347 5637 7516 10008 10694 11274 15032 16041 16911 21388 22548 32082 33822 42776 45096 48123 64164 67644 96246 128328 135288 192492 261181 384984 522362 743233 783543 1044724 1486466 1567086 2089448 2229699 2350629 2972932 3134172 4459398 4701258 5945864 6268344 6689097 8918796 9402516 10047013 13378194 17837592 18805032 20094026 26756388 30141039 40188052 53512776 60282078 80376104 90423117 120564156 180846234 241128312 361692468 723384936 1396534807 2793069614 4189604421 5586139228 8379208842 11172278456 12568813263 16758417684 25137626526 33516835368 50275253052 100550506104