Search a number
-
+
100794705705828 = 2236110863311791
BaseRepresentation
bin10110111010110000011000…
…101000001111101101100100
3111012212212202100022021000000
4112322300120220033231210
5101202410024130041303
6554212240520021300
730142114525163301
oct2672603050175544
9435785670267000
10100794705705828
112a130881727342
12b37a833001830
134431b912b3074
141ac66bdd8a0a8
15b9bd7cdc6da3
hex5bac18a0fb64

100794705705828 has 84 divisors (see below), whose sum is σ = 264468354911488. Its totient is φ = 33597824416560.

The previous prime is 100794705705823. The next prime is 100794705705839. The reversal of 100794705705828 is 828507507497001.

100794705705828 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 9 + 4 + 7 + 0 + 570 + 58 + 2 + 8 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (100794705705821) 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 27 ways as a sum of consecutive naturals, for example, 323120613 + ... + 323432403.

Almost surely, 2100794705705828 is an apocalyptic number.

100794705705828 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

100794705705828 is an abundant number, since it is smaller than the sum of its proper divisors (163673649205660).

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

100794705705828 is a wasteful number, since it uses less digits than its factorization.

100794705705828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422676 (or 422659 counting only the distinct ones).

The product of its (nonzero) digits is 39513600, while the sum is 63.

The spelling of 100794705705828 in words is "one hundred trillion, seven hundred ninety-four billion, seven hundred five million, seven hundred five thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2916 110863 221726 311791 332589 443452 623582 665178 935373 997767 1247164 1330356 1870746 1995534 2806119 2993301 3741492 3991068 5612238 5986602 8418357 8979903 11224476 11973204 16836714 17959806 25255071 26939709 33673428 35919612 50510142 53879418 75765213 80819127 101020284 107758836 151530426 161638254 227295639 303060852 323276508 454591278 909182556 34566085633 69132171266 103698256899 138264342532 207396513798 311094770697 414793027596 622189541394 933284312091 1244379082788 1866568624182 2799852936273 3733137248364 5599705872546 8399558808819 11199411745092 16799117617638 25198676426457 33598235235276 50397352852914 100794705705828