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857379147380 = 225731000912487
BaseRepresentation
bin11000111100111111100…
…01111000111001110100
310000222001020010102211022
430132133301320321310
5103021403030204010
61453512522400312
7115641440336000
oct14363761707164
93028036112738
10857379147380
113006811a4458
1211a1ba660098
1362b097423a2
142d6d6b09700
15174808e5d55
hexc79fc78e74

857379147380 has 96 divisors (see below), whose sum is σ = 2100081984000. Its totient is φ = 293905656576.

The previous prime is 857379147367. The next prime is 857379147389. The reversal of 857379147380 is 83741973758.

It is a Smith number, since the sum of its digits (62) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (857379147389) 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, 68655497 + ... + 68667983.

It is an arithmetic number, because the mean of its divisors is an integer number (21875854000).

Almost surely, 2857379147380 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 857379147380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1050040992000).

857379147380 is an abundant number, since it is smaller than the sum of its proper divisors (1242702836620).

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

857379147380 is a wasteful number, since it uses less digits than its factorization.

857379147380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22526 (or 22510 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 62.

The spelling of 857379147380 in words is "eight hundred fifty-seven billion, three hundred seventy-nine million, one hundred forty-seven thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 343 490 686 980 1372 1715 3430 6860 10009 12487 20018 24974 40036 49948 50045 62435 70063 87409 100090 124870 140126 174818 200180 249740 280252 349636 350315 437045 490441 611863 700630 874090 980882 1223726 1401260 1748180 1961764 2447452 2452205 3059315 3433087 4283041 4904410 6118630 6866174 8566082 9808820 12237260 13732348 17132164 17165435 21415205 34330870 42830410 68661740 85660820 124982383 249964766 499929532 624911915 874876681 1249823830 1749753362 2499647660 3499506724 4374383405 6124136767 8748766810 12248273534 17497533620 24496547068 30620683835 42868957369 61241367670 85737914738 122482735340 171475829476 214344786845 428689573690 857379147380