Search a number
-
+
483146003472 = 243117697971493
BaseRepresentation
bin1110000011111011011…
…11101111010000010000
31201012002021102222102220
413001331233233100100
530403440334102342
61005542035341040
746622544161256
oct7017557572020
91635067388386
10483146003472
111769a0361450
1279778751780
1336739487472
1419554aac5d6
15c87b19b5ec
hex707dbef410

483146003472 has 160 divisors (see below), whose sum is σ = 1365988821120. Its totient is φ = 145936220160.

The previous prime is 483146003449. The next prime is 483146003539. The reversal of 483146003472 is 274300641384.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 323606758 + ... + 323608250.

It is an arithmetic number, because the mean of its divisors is an integer number (8537430132).

Almost surely, 2483146003472 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 483146003472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682994410560).

483146003472 is an abundant number, since it is smaller than the sum of its proper divisors (882842817648).

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

483146003472 is a wasteful number, since it uses less digits than its factorization.

483146003472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3081 (or 3075 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The spelling of 483146003472 in words is "four hundred eighty-three billion, one hundred forty-six million, three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 769 797 1493 1538 1594 2307 2391 2986 3076 3188 4479 4614 4782 5972 6152 6376 8459 8767 8958 9228 9564 11944 12304 12752 16423 16918 17534 17916 18456 19128 23888 25377 26301 32846 33836 35068 35832 36912 38256 49269 50754 52602 65692 67672 70136 71664 98538 101508 105204 131384 135344 140272 197076 203016 210408 262768 394152 406032 420816 612893 788304 1148117 1189921 1225786 1838679 2296234 2379842 2451572 3444351 3569763 3677358 4592468 4759684 4903144 6741823 6888702 7139526 7354716 9184936 9519368 9806288 12629287 13089131 13483646 13777404 14279052 14709432 18369872 19038736 20225469 25258574 26178262 26967292 27554808 28558104 29418864 37887861 39267393 40450938 50517148 52356524 53934584 55109616 57116208 75775722 78534786 80901876 101034296 104713048 107869168 151551444 157069572 161803752 202068592 209426096 303102888 314139144 323607504 606205776 628278288 915049249 1830098498 2745147747 3660196996 5490295494 7320393992 10065541739 10980590988 14640787984 20131083478 21961181976 30196625217 40262166956 43922363952 60393250434 80524333912 120786500868 161048667824 241573001736 483146003472