Search a number
-
+
480674014600 = 235213238038027
BaseRepresentation
bin1101111111010100110…
…01110110010110001000
31200221200222221221012111
412333222121312112020
530333410021431400
61004452452152104
746504356465523
oct6775231662610
91627628857174
10480674014600
11175941a4a63a
12791a8908634
13364342b4960
141939c66dbba
15c7841553ba
hex6fea676588

480674014600 has 96 divisors (see below), whose sum is σ = 1255861494720. Its totient is φ = 169763109120.

The previous prime is 480674014589. The next prime is 480674014603. The reversal of 480674014600 is 6410476084.

It is a super-3 number, since 3×4806740146003 (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (480674014603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3959214 + ... + 4078813.

It is an arithmetic number, because the mean of its divisors is an integer number (13081890570).

Almost surely, 2480674014600 is an apocalyptic number.

480674014600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480674014600 is an abundant number, since it is smaller than the sum of its proper divisors (775187480120).

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

480674014600 is a wasteful number, since it uses less digits than its factorization.

480674014600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8038079 (or 8038070 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The spelling of 480674014600 in words is "four hundred eighty billion, six hundred seventy-four million, fourteen thousand, six hundred".

Divisors: 1 2 4 5 8 10 13 20 23 25 26 40 46 50 52 65 92 100 104 115 130 184 200 230 260 299 325 460 520 575 598 650 920 1150 1196 1300 1495 2300 2392 2600 2990 4600 5980 7475 11960 14950 29900 59800 8038027 16076054 32152108 40190135 64304216 80380270 104494351 160760540 184874621 200950675 208988702 321521080 369749242 401901350 417977404 522471755 739498484 803802700 835954808 924373105 1044943510 1478996968 1607605400 1848746210 2089887020 2403370073 2612358775 3697492420 4179774040 4621865525 4806740146 5224717550 7394984840 9243731050 9613480292 10449435100 12016850365 18487462100 19226960584 20898870200 24033700730 36974924200 48067401460 60084251825 96134802920 120168503650 240337007300 480674014600