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115992011776 = 2102923672
BaseRepresentation
bin110110000000110101…
…0011010010000000000
3102002101200102201021011
41230001222122100000
53400022423334101
6125141435210304
711244250555354
oct1540152322000
9362350381234
10115992011776
1145212515263
121a5915a6994
13ac26a299c4
145884d13464
15303d1a3751
hex1b01a9a400

115992011776 has 99 divisors (see below), whose sum is σ = 240798122409. Its totient is φ = 55843565568.

The previous prime is 115992011771. The next prime is 115992011791. The reversal of 115992011776 is 677110299511.

It is a happy number.

The square root of 115992011776 is 340576.

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

It can be written as a sum of positive squares in only one way, i.e., 60823397376 + 55168614400 = 246624^2 + 234880^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (115992011771) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 316054345 + ... + 316054711.

Almost surely, 2115992011776 is an apocalyptic number.

115992011776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

115992011776 is the 340576-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115992011776

115992011776 is an abundant number, since it is smaller than the sum of its proper divisors (124806110633).

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

115992011776 is an frugal number, since it uses more digits than its factorization.

115992011776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 49.

Multiplying 115992011776 by its sum of digits (49), we get a square (5683608577024 = 23840322).

The spelling of 115992011776 in words is "one hundred fifteen billion, nine hundred ninety-two million, eleven thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 367 464 512 734 841 928 1024 1468 1682 1856 2936 3364 3712 5872 6728 7424 10643 11744 13456 14848 21286 23488 26912 29696 42572 46976 53824 85144 93952 107648 134689 170288 187904 215296 269378 308647 340576 375808 430592 538756 617294 681152 861184 1077512 1234588 1362304 2155024 2469176 2724608 3905981 4310048 4938352 5449216 7811962 8620096 9876704 10898432 15623924 17240192 19753408 31247848 34480384 39506816 62495696 68960768 79013632 113273449 124991392 137921536 158027264 226546898 249982784 316054528 453093796 499965568 906187592 999931136 1812375184 1999862272 3624750368 3999724544 7249500736 14499001472 28998002944 57996005888 115992011776