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3850131456 = 21132892347
BaseRepresentation
bin1110010101111100…
…0101100000000000
3100221022200221110100
43211133011200000
530341113201311
61434013402400
7164260402023
oct34537054000
910838627410
103850131456
1116a6331826
128b5499400
1349486a5c2
142874a11ba
1517801ea56
hexe57c5800

3850131456 has 144 divisors (see below), whose sum is σ = 11249620200. Its totient is φ = 1268416512.

The previous prime is 3850131433. The next prime is 3850131473. The reversal of 3850131456 is 6541310583.

3850131456 is a `hidden beast` number, since 3 + 8 + 501 + 3 + 145 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3850131456.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1639275 + ... + 1641621.

Almost surely, 23850131456 is an apocalyptic number.

3850131456 is a gapful number since it is divisible by the number (36) 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 3850131456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5624810100).

3850131456 is an abundant number, since it is smaller than the sum of its proper divisors (7399488744).

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

3850131456 is a wasteful number, since it uses less digits than its factorization.

3850131456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2464 (or 2441 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 3850131456 is about 62049.4275235477. The cubic root of 3850131456 is about 1567.3230452778.

The spelling of 3850131456 in words is "three billion, eight hundred fifty million, one hundred thirty-one thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 89 96 128 144 178 192 256 267 288 356 384 512 534 576 712 768 801 1024 1068 1152 1424 1536 1602 2048 2136 2304 2347 2848 3072 3204 4272 4608 4694 5696 6144 6408 7041 8544 9216 9388 11392 12816 14082 17088 18432 18776 21123 22784 25632 28164 34176 37552 42246 45568 51264 56328 68352 75104 84492 91136 102528 112656 136704 150208 168984 182272 205056 208883 225312 273408 300416 337968 410112 417766 450624 546816 600832 626649 675936 820224 835532 901248 1201664 1253298 1351872 1640448 1671064 1802496 1879947 2403328 2506596 2703744 3342128 3604992 3759894 4806656 5013192 5407488 6684256 7209984 7519788 10026384 10814976 13368512 14419968 15039576 20052768 21629952 26737024 30079152 40105536 43259904 53474048 60158304 80211072 106948096 120316608 160422144 213896192 240633216 320844288 427792384 481266432 641688576 962532864 1283377152 1925065728 3850131456