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379348807552 = 27112131884083
BaseRepresentation
bin1011000010100101111…
…00110110111110000000
31100021011110201002122021
411201102330312332000
522203401243320202
6450134225251224
736256421442601
oct5412274667600
91307143632567
10379348807552
1113697656a900
126162b193b14
1329a07082a40
1414509609da8
159d038eba37
hex5852f36f80

379348807552 has 96 divisors (see below), whose sum is σ = 894581924040. Its totient is φ = 159167247360.

The previous prime is 379348807507. The next prime is 379348807627. The reversal of 379348807552 is 255708843973.

It is a super-2 number, since 2×3793488075522 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 740698 + ... + 1143385.

Almost surely, 2379348807552 is an apocalyptic number.

379348807552 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

379348807552 is an abundant number, since it is smaller than the sum of its proper divisors (515233116488).

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

379348807552 is a wasteful number, since it uses less digits than its factorization.

379348807552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1884132 (or 1884109 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 61.

The spelling of 379348807552 in words is "three hundred seventy-nine billion, three hundred forty-eight million, eight hundred seven thousand, five hundred fifty-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 121 128 143 176 208 242 286 352 416 484 572 704 832 968 1144 1408 1573 1664 1936 2288 3146 3872 4576 6292 7744 9152 12584 15488 18304 25168 50336 100672 201344 1884083 3768166 7536332 15072664 20724913 24493079 30145328 41449826 48986158 60290656 82899652 97972316 120581312 165799304 195944632 227974043 241162624 269423869 331598608 391889264 455948086 538847738 663197216 783778528 911896172 1077695476 1326394432 1567557056 1823792344 2155390952 2652788864 2963662559 3135114112 3647584688 4310781904 5927325118 7295169376 8621563808 11854650236 14590338752 17243127616 23709300472 29180677504 34486255232 47418600944 94837201888 189674403776 379348807552