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471302897920 = 2851937523763
BaseRepresentation
bin1101101101110111101…
…01111000000100000000
31200001111220112212210221
412312323311320010000
530210212020213140
61000302532432424
746023216350611
oct6667365700400
91601456485727
10471302897920
11171973220a08
1277412478714
133559c9969ba
1418b4dc51c08
15c3d65bd14a
hex6dbbd78100

471302897920 has 144 divisors (see below), whose sum is σ = 1220453922240. Its totient is φ = 173771661312.

The previous prime is 471302897917. The next prime is 471302897921. The reversal of 471302897920 is 29798203174.

It is not an unprimeable number, because it can be changed into a prime (471302897921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 637959 + ... + 1161721.

It is an arithmetic number, because the mean of its divisors is an integer number (8475374460).

Almost surely, 2471302897920 is an apocalyptic number.

471302897920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 471302897920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610226961120).

471302897920 is an abundant number, since it is smaller than the sum of its proper divisors (749151024320).

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

471302897920 is a wasteful number, since it uses less digits than its factorization.

471302897920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523840 (or 523826 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 52.

The spelling of 471302897920 in words is "four hundred seventy-one billion, three hundred two million, eight hundred ninety-seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 37 38 40 64 74 76 80 95 128 148 152 160 185 190 256 296 304 320 370 380 592 608 640 703 740 760 1184 1216 1280 1406 1480 1520 2368 2432 2812 2960 3040 3515 4736 4864 5624 5920 6080 7030 9472 11248 11840 12160 14060 22496 23680 24320 28120 44992 47360 56240 89984 112480 179968 224960 449920 523763 899840 1047526 2095052 2618815 4190104 5237630 8380208 9951497 10475260 16760416 19379231 19902994 20950520 33520832 38758462 39805988 41901040 49757485 67041664 77516924 79611976 83802080 96896155 99514970 134083328 155033848 159223952 167604160 193792310 199029940 310067696 318447904 335208320 368205389 387584620 398059880 620135392 636895808 670416640 736410778 775169240 796119760 1240270784 1273791616 1472821556 1550338480 1592239520 1841026945 2480541568 2547583232 2945643112 3100676960 3184479040 3682053890 4961083136 5891286224 6201353920 6368958080 7364107780 11782572448 12402707840 12737916160 14728215560 23565144896 24805415680 29456431120 47130289792 58912862240 94260579584 117825724480 235651448960 471302897920