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100796090256 = 243488192
BaseRepresentation
bin101110111011111101…
…0100100011110010000
3100122011122121220210000
41131313322210132100
53122412244342011
6114145522010000
710165551426231
oct1356772443620
9318148556700
10100796090256
1139824846534
12176504a6900
139674723b74
144c42a8d088
15294e08d356
hex1777ea4790

100796090256 has 75 divisors (see below), whose sum is σ = 291766212331. Its totient is φ = 33594886944.

The previous prime is 100796090237. The next prime is 100796090333. The reversal of 100796090256 is 652090697001.

It is a happy number.

The square root of 100796090256 is 317484.

It is a perfect power (a square), and thus also a powerful number.

100796090256 is a `hidden beast` number, since 10 + 0 + 7 + 9 + 609 + 0 + 25 + 6 = 666.

100796090256 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 11425015 + ... + 11433833.

Almost surely, 2100796090256 is an apocalyptic number.

100796090256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

100796090256 is the 317484-th square number.

It is an amenable number.

100796090256 is an abundant number, since it is smaller than the sum of its proper divisors (190970122075).

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

100796090256 is an frugal number, since it uses more digits than its factorization.

100796090256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17658 (or 8824 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 100796090256 in words is "one hundred billion, seven hundred ninety-six million, ninety thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 8819 17638 26457 35276 52914 70552 79371 105828 141104 158742 211656 238113 317484 423312 476226 634968 714339 952452 1269936 1428678 1904904 2857356 3809808 5714712 11429424 77774761 155549522 233324283 311099044 466648566 622198088 699972849 933297132 1244396176 1399945698 1866594264 2099918547 2799891396 3733188528 4199837094 5599782792 6299755641 8399674188 11199565584 12599511282 16799348376 25199022564 33598696752 50398045128 100796090256