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376313541136 = 241324722512
BaseRepresentation
bin1010111100111100000…
…10001111001000010000
31022222022221022120212121
411132132002033020100
522131142231304021
6444513121104024
736121254215431
oct5363602171020
91288287276777
10376313541136
11135659202265
1260b22788014
13296422a1400
14142dc463488
159bc71dd741
hex579e08f210

376313541136 has 135 divisors (see below), whose sum is σ = 809888945133. Its totient is φ = 169310544000.

The previous prime is 376313541077. The next prime is 376313541151. The reversal of 376313541136 is 631145313673.

The square root of 376313541136 is 613444.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 55667683600 + 320645857536 = 235940^2 + 566256^2 .

It is a super-2 number, since 2×3763135411362 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

Its product of digits (408240) is a multiple of the sum of its prime factors (630).

It is a junction number, because it is equal to n+sod(n) for n = 376313541092 and 376313541101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1499257011 + ... + 1499257261.

Almost surely, 2376313541136 is an apocalyptic number.

376313541136 is the 613444-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 376313541136

376313541136 is an abundant number, since it is smaller than the sum of its proper divisors (433575403997).

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

376313541136 is an equidigital number, since it uses as much as digits as its factorization.

376313541136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 313 counting only the distinct ones).

The product of its digits is 408240, while the sum is 43.

The spelling of 376313541136 in words is "three hundred seventy-six billion, three hundred thirteen million, five hundred forty-one thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 47 52 94 104 169 188 208 251 338 376 502 611 676 752 1004 1222 1352 2008 2209 2444 2704 3263 4016 4418 4888 6526 7943 8836 9776 11797 13052 15886 17672 23594 26104 28717 31772 35344 42419 47188 52208 57434 63001 63544 84838 94376 114868 126002 127088 153361 169676 188752 229736 252004 306722 339352 373321 459472 504008 554459 613444 678704 746642 819013 1008016 1108918 1226888 1493284 1638026 1993693 2217836 2453776 2961047 2986568 3276052 3987386 4435672 5922094 5973136 6552104 7207967 7974772 8871344 10647169 11844188 13104208 14415934 15949544 21294338 23688376 28831868 31899088 38493611 42588676 47376752 57663736 76987222 85177352 93703571 115327472 139169209 153974444 170354704 187407142 278338418 307948888 374814284 500416943 556676836 615897776 749628568 1000833886 1113353672 1499257136 1809199717 2001667772 2226707344 3618399434 4003335544 7236798868 8006671088 14473597736 23519596321 28947195472 47039192642 94078385284 188156770568 376313541136