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23113171603456 = 21211268292
BaseRepresentation
bin1010100000101011101000…
…11000100001000000000000
310000211121010200001220111121
411100111310120201000000
511012141233412302311
6121054013333522024
74603604640026524
oct520256430410000
9100747120056447
1023113171603456
1174012718a1500
1227135a24a3314
13cb874141916c
1459c97d64dd84
152a135ed61b71
hex150574621000

23113171603456 has 117 divisors (see below), whose sum is σ = 50812012073613. Its totient is φ = 10504448655360.

The previous prime is 23113171603397. The next prime is 23113171603493. The reversal of 23113171603456 is 65430617131132.

The square root of 23113171603456 is 4807616.

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., 12534545453056 + 10578626150400 = 3540416^2 + 3252480^2 .

It is a super-2 number, since 2×231131716034562 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3384558250 + ... + 3384565078.

Almost surely, 223113171603456 is an apocalyptic number.

23113171603456 is the 4807616-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23113171603456

23113171603456 is an abundant number, since it is smaller than the sum of its proper divisors (27698840470157).

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

23113171603456 is an frugal number, since it uses more digits than its factorization.

23113171603456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13704 (or 6842 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 43.

Adding to 23113171603456 its reverse (65430617131132), we get a palindrome (88543788734588).

The spelling of 23113171603456 in words is "twenty-three trillion, one hundred thirteen billion, one hundred seventy-one million, six hundred three thousand, four hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 512 704 968 1024 1408 1936 2048 2816 3872 4096 5632 6829 7744 11264 13658 15488 22528 27316 30976 45056 54632 61952 75119 109264 123904 150238 218528 247808 300476 437056 495616 600952 826309 874112 1201904 1652618 1748224 2403808 3305236 3496448 4807616 6610472 6992896 9615232 13220944 13985792 19230464 26441888 27971584 38460928 46635241 52883776 76921856 93270482 105767552 153843712 186540964 211535104 307687424 373081928 423070208 512987651 746163856 846140416 1025975302 1492327712 1692280832 2051950604 2984655424 3384561664 4103901208 5642864161 5969310848 8207802416 11285728322 11938621696 16415604832 22571456644 23877243392 32831209664 45142913288 47754486784 65662419328 90285826576 95508973568 131324838656 180571653152 191017947136 262649677312 361143306304 525299354624 722286612608 1050598709248 1444573225216 2101197418496 2889146450432 5778292900864 11556585801728 23113171603456