Search a number
-
+
470573294272 = 261719182312487
BaseRepresentation
bin1101101100100000101…
…10101010001011000000
31122222122001200011202121
412312100112222023000
530202213230404042
61000102310454024
745666150001354
oct6662026521300
91588561604677
10470573294272
111716293a1994
127724a064314
13354b4790b73
1418ac0dad464
15c3924ee367
hex6d905aa2c0

470573294272 has 112 divisors (see below), whose sum is σ = 1041415280640. Its totient is φ = 209659318272.

The previous prime is 470573294263. The next prime is 470573294311. The reversal of 470573294272 is 272492375074.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37678813 + ... + 37691299.

It is an arithmetic number, because the mean of its divisors is an integer number (9298350720).

Almost surely, 2470573294272 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 470573294272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520707640320).

470573294272 is an abundant number, since it is smaller than the sum of its proper divisors (570841986368).

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

470573294272 is a wasteful number, since it uses less digits than its factorization.

470573294272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14358 (or 14348 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 52.

The spelling of 470573294272 in words is "four hundred seventy billion, five hundred seventy-three million, two hundred ninety-four thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 17 19 32 34 38 64 68 76 136 152 272 304 323 544 608 646 1088 1216 1292 1823 2584 3646 5168 7292 10336 12487 14584 20672 24974 29168 30991 34637 49948 58336 61982 69274 99896 116672 123964 138548 199792 212279 237253 247928 277096 399584 424558 474506 495856 554192 588829 799168 849116 949012 991712 1108384 1177658 1698232 1898024 1983424 2216768 2355316 3396464 3796048 4033301 4710632 6792928 7592096 8066602 9421264 13585856 15184192 16133204 18842528 22763801 32266408 37685056 45527602 64532816 91055204 129065632 182110408 258131264 364220816 386984617 432512219 728441632 773969234 865024438 1456883264 1547938468 1730048876 3095876936 3460097752 6191753872 6920195504 7352707723 12383507744 13840391008 14705415446 24767015488 27680782016 29410830892 58821661784 117643323568 235286647136 470573294272