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381461598990 = 23352236335519
BaseRepresentation
bin1011000110100001110…
…00100001001100001110
31100110121201022000122000
411203100320201030032
522222213132131430
6451124021533130
736362655043443
oct5432070411416
91313551260560
10381461598990
1113786014532a
1261b1a8741a6
1329c829cbba4
141466a0659ca
159dc913de60
hex58d0e2130e

381461598990 has 64 divisors (see below), whose sum is σ = 1021792665600. Its totient is φ = 101266919712.

The previous prime is 381461598977. The next prime is 381461599003. The reversal of 381461598990 is 99895164183.

381461598990 is a `hidden beast` number, since 3 + 8 + 1 + 4 + 615 + 9 + 8 + 9 + 9 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (381461598977) and next prime (381461599003).

It is a congruent number.

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, 3107550 + ... + 3227969.

It is an arithmetic number, because the mean of its divisors is an integer number (15965510400).

Almost surely, 2381461598990 is an apocalyptic number.

381461598990 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

381461598990 is an abundant number, since it is smaller than the sum of its proper divisors (640331066610).

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

381461598990 is a wasteful number, since it uses less digits than its factorization.

381461598990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6335758 (or 6335752 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 63.

The spelling of 381461598990 in words is "three hundred eighty-one billion, four hundred sixty-one million, five hundred ninety-eight thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 223 270 446 669 1115 1338 2007 2230 3345 4014 6021 6690 10035 12042 20070 30105 60210 6335519 12671038 19006557 31677595 38013114 57019671 63355190 95032785 114039342 171059013 190065570 285098355 342118026 570196710 855295065 1412820737 1710590130 2825641474 4238462211 7064103685 8476924422 12715386633 14128207370 21192311055 25430773266 38146159899 42384622110 63576933165 76292319798 127153866330 190730799495 381461598990