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482345127160 = 2351319471038731
BaseRepresentation
bin1110000010011100000…
…00101000110011111000
31201010000110110020200021
413001032000220303320
530400320323032120
61005330350020224
746563650635021
oct7011600506370
91633013406607
10482345127160
1117661a2821a6
12795944a7674
133663c588760
14194ba595c48
15c830beeaaa
hex704e028cf8

482345127160 has 128 divisors (see below), whose sum is σ = 1256450227200. Its totient is φ = 165133140480.

The previous prime is 482345127149. The next prime is 482345127163. The reversal of 482345127160 is 61721543284.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (482345127163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55006 + ... + 983725.

It is an arithmetic number, because the mean of its divisors is an integer number (9816017400).

Almost surely, 2482345127160 is an apocalyptic number.

482345127160 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 482345127160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628225113600).

482345127160 is an abundant number, since it is smaller than the sum of its proper divisors (774105100040).

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

482345127160 is a wasteful number, since it uses less digits than its factorization.

482345127160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038821 (or 1038817 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 43.

The spelling of 482345127160 in words is "four hundred eighty-two billion, three hundred forty-five million, one hundred twenty-seven thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 13 19 20 26 38 40 47 52 65 76 94 95 104 130 152 188 190 235 247 260 376 380 470 494 520 611 760 893 940 988 1222 1235 1786 1880 1976 2444 2470 3055 3572 4465 4888 4940 6110 7144 8930 9880 11609 12220 17860 23218 24440 35720 46436 58045 92872 116090 232180 464360 1038731 2077462 4154924 5193655 8309848 10387310 13503503 19735889 20774620 27007006 39471778 41549240 48820357 54014012 67517515 78943556 97640714 98679445 108028024 135035030 157887112 195281428 197358890 244101785 256566557 270070060 390562856 394717780 488203570 513133114 540140120 634664641 789435560 927586783 976407140 1026266228 1269329282 1282832785 1855173566 1952814280 2052532456 2538658564 2565665570 3173323205 3710347132 4637933915 5077317128 5131331140 6346646410 7420694264 9275867830 10262662280 12058628179 12693292820 18551735660 24117256358 25386585640 37103471320 48234512716 60293140895 96469025432 120586281790 241172563580 482345127160