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381087343872 = 2832751220243
BaseRepresentation
bin1011000101110101001…
…00110110010100000000
31100102122122001220010100
411202322210312110000
522220431330000442
6451022532202400
736350461655604
oct5427244662400
91312578056110
10381087343872
11137688963984
1261a35469400
1329c23302861
1414632483504
159da636384c
hex58ba936500

381087343872 has 108 divisors (see below), whose sum is σ = 1100236830784. Its totient is φ = 126859392000.

The previous prime is 381087343853. The next prime is 381087343883. The reversal of 381087343872 is 278343780183.

It is a happy number.

381087343872 is a `hidden beast` number, since 38 + 108 + 7 + 3 + 438 + 72 = 666.

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, 1620183 + ... + 1840425.

Almost surely, 2381087343872 is an apocalyptic number.

381087343872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381087343872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550118415392).

381087343872 is an abundant number, since it is smaller than the sum of its proper divisors (719149486912).

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

381087343872 is a wasteful number, since it uses less digits than its factorization.

381087343872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221016 (or 220999 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 381087343872 in words is "three hundred eighty-one billion, eighty-seven million, three hundred forty-three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 751 768 1152 1502 2253 2304 3004 4506 6008 6759 9012 12016 13518 18024 24032 27036 36048 48064 54072 72096 96128 108144 144192 192256 216288 220243 288384 432576 440486 576768 660729 865152 880972 1321458 1730304 1761944 1982187 2642916 3523888 3964374 5285832 7047776 7928748 10571664 14095552 15857496 21143328 28191104 31714992 42286656 56382208 63429984 84573312 126859968 165402493 169146624 253719936 330804986 496207479 507439872 661609972 992414958 1323219944 1488622437 1984829916 2646439888 2977244874 3969659832 5292879776 5954489748 7939319664 10585759552 11908979496 15878639328 21171519104 23817958992 31757278656 42343038208 47635917984 63514557312 95271835968 127029114624 190543671936 381087343872