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479657014144 = 2772116952357
BaseRepresentation
bin1101111101011011100…
…10010011001110000000
31200212002010021221211221
412332231302103032000
530324314143423034
61004203522244424
746440230230600
oct6765562231600
91625063257757
10479657014144
1117546a9750a0
1278b641b6714
13363016a4739
1419303578c00
15c724c16bb4
hex6fadc93380

479657014144 has 96 divisors (see below), whose sum is σ = 1212630282360. Its totient is φ = 186879329280.

The previous prime is 479657014139. The next prime is 479657014217. The reversal of 479657014144 is 441410756974.

It is a junction number, because it is equal to n+sod(n) for n = 479657014091 and 479657014100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3407187 + ... + 3545170.

Almost surely, 2479657014144 is an apocalyptic number.

479657014144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

479657014144 is an abundant number, since it is smaller than the sum of its proper divisors (732973268216).

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

479657014144 is a wasteful number, since it uses less digits than its factorization.

479657014144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6952396 (or 6952377 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 52.

The spelling of 479657014144 in words is "four hundred seventy-nine billion, six hundred fifty-seven million, fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 64 77 88 98 112 128 154 176 196 224 308 352 392 448 539 616 704 784 896 1078 1232 1408 1568 2156 2464 3136 4312 4928 6272 8624 9856 17248 34496 68992 6952357 13904714 27809428 48666499 55618856 76475927 97332998 111237712 152951854 194665996 222475424 305903708 340665493 389331992 444950848 535331489 611807416 681330986 778663984 889901696 1070662978 1223614832 1362661972 1557327968 2141325956 2447229664 2725323944 3114655936 3747320423 4282651912 4894459328 5450647888 6229311872 7494640846 8565303824 9788918656 10901295776 14989281692 17130607648 21802591552 29978563384 34261215296 43605183104 59957126768 68522430592 119914253536 239828507072 479657014144