Search a number
-
+
23120556691456 = 21272107332
BaseRepresentation
bin1010100000111001011001…
…00100011001000000000000
310000212022012100102020201101
411100130230210121000000
511012301400003111311
6121101234225544144
74604255643162400
oct520345444310000
9100768170366641
1023120556691456
117404411556414
122714b037a5054
13cb934a442113
1459d0803ac800
152a1643395ec1
hex15072c919000

23120556691456 has 117 divisors (see below), whose sum is σ = 53789128234401. Its totient is φ = 9907886800896.

The previous prime is 23120556691373. The next prime is 23120556691457. The reversal of 23120556691456 is 65419665502132.

The square root of 23120556691456 is 4808384.

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., 1860932505600 + 21259624185856 = 1364160^2 + 4610816^2 .

It is a junction number, because it is equal to n+sod(n) for n = 23120556691397 and 23120556691406.

It is not an unprimeable number, because it can be changed into a prime (23120556691457) 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, 2154150666 + ... + 2154161398.

Almost surely, 223120556691456 is an apocalyptic number.

23120556691456 is the 4808384-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23120556691456

23120556691456 is an abundant number, since it is smaller than the sum of its proper divisors (30668571542945).

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

23120556691456 is an frugal number, since it uses more digits than its factorization.

23120556691456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21504 (or 10742 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 55.

The spelling of 23120556691456 in words is "twenty-three trillion, one hundred twenty billion, five hundred fifty-six million, six hundred ninety-one thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 896 1024 1568 1792 2048 3136 3584 4096 6272 7168 10733 12544 14336 21466 25088 28672 42932 50176 75131 85864 100352 150262 171728 200704 300524 343456 525917 601048 686912 1051834 1202096 1373824 2103668 2404192 2747648 4207336 4808384 5495296 8414672 9616768 10990592 16829344 19233536 21981184 33658688 38467072 43962368 67317376 76934144 115197289 134634752 153868288 230394578 269269504 307736576 460789156 538539008 806381023 921578312 1077078016 1612762046 1843156624 2154156032 3225524092 3686313248 5644667161 6451048184 7372626496 11289334322 12902096368 14745252992 22578668644 25804192736 29490505984 45157337288 51608385472 58981011968 90314674576 103216770944 117962023936 180629349152 206433541888 235924047872 361258698304 412867083776 471848095744 722517396608 825734167552 1445034793216 1651468335104 2890069586432 3302936670208 5780139172864 11560278345728 23120556691456