Search a number
-
+
115016290304 = 212292173193
BaseRepresentation
bin110101100011110000…
…0010101000000000000
3101222212200102221000212
41223013200111000000
53341023132242204
6124500542133252
711211132223346
oct1530740250000
9358780387025
10115016290304
1144861774283
121a35a881228
13aacc840516
1457d14c5996
152ed26bac6e
hex1ac7815000

115016290304 has 156 divisors (see below), whose sum is σ = 240827489916. Its totient is φ = 54918119424.

The previous prime is 115016290231. The next prime is 115016290313. The reversal of 115016290304 is 403092610511.

It can be written as a sum of positive squares in 6 ways, for example, as 1905147904 + 113111142400 = 43648^2 + 336320^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 595939232 + ... + 595939424.

It is an arithmetic number, because the mean of its divisors is an integer number (1543765961).

Almost surely, 2115016290304 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 115016290304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120413744958).

115016290304 is an abundant number, since it is smaller than the sum of its proper divisors (125811199612).

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

115016290304 is an equidigital number, since it uses as much as digits as its factorization.

115016290304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The spelling of 115016290304 in words is "one hundred fifteen billion, sixteen million, two hundred ninety thousand, three hundred four".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 173 193 232 256 346 386 464 512 692 772 841 928 1024 1384 1544 1682 1856 2048 2768 3088 3364 3712 4096 5017 5536 5597 6176 6728 7424 10034 11072 11194 12352 13456 14848 20068 22144 22388 24704 26912 29696 33389 40136 44288 44776 49408 53824 59392 66778 80272 88576 89552 98816 107648 118784 133556 145493 160544 162313 177152 179104 197632 215296 267112 290986 321088 324626 354304 358208 395264 430592 534224 581972 642176 649252 708608 716416 790528 861184 968281 1068448 1163944 1284352 1298504 1432832 1722368 1936562 2136896 2327888 2568704 2597008 2865664 3444736 3873124 4273792 4655776 5137408 5194016 5731328 7746248 8547584 9311552 10274816 10388032 11462656 15492496 17095168 18623104 20549632 20776064 22925312 28080149 30984992 34190336 37246208 41552128 56160298 61969984 68380672 74492416 83104256 112320596 123939968 136761344 148984832 166208512 224641192 247879936 297969664 332417024 449282384 495759872 595939328 664834048 898564768 991519744 1797129536 1983039488 3594259072 3966078976 7188518144 14377036288 28754072576 57508145152 115016290304