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424134377536 = 2612726412
BaseRepresentation
bin1100010110000000110…
…00010000000001000000
31111112202122122210000111
412023000120100001000
523422111400040121
6522502235401104
742433305503512
oct6130030200100
91445678583014
10424134377536
11153968887461
126a2498b3194
1330cc37267cc
14167575bbbb2
15b0755d02e1
hex62c0610040

424134377536 has 63 divisors (see below), whose sum is σ = 849646435197. Its totient is φ = 210069135360.

The previous prime is 424134377519. The next prime is 424134377551. The reversal of 424134377536 is 635773431424.

It is a happy number.

The square root of 424134377536 is 651256.

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., 382844137536 + 41290240000 = 618744^2 + 203200^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 424134377536.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 661675776 + ... + 661676416.

Almost surely, 2424134377536 is an apocalyptic number.

424134377536 is the 651256-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424134377536

424134377536 is an abundant number, since it is smaller than the sum of its proper divisors (425512057661).

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

424134377536 is an frugal number, since it uses more digits than its factorization.

424134377536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1548 (or 770 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 49.

Multiplying 424134377536 by its sum of digits (49), we get a square (20782584499264 = 45587922).

The spelling of 424134377536 in words is "four hundred twenty-four billion, one hundred thirty-four million, three hundred seventy-seven thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 127 254 508 641 1016 1282 2032 2564 4064 5128 8128 10256 16129 20512 32258 41024 64516 81407 129032 162814 258064 325628 410881 516128 651256 821762 1032256 1302512 1643524 2605024 3287048 5210048 6574096 10338689 13148192 20677378 26296384 41354756 52181887 82709512 104363774 165419024 208727548 330838048 417455096 661676096 834910192 1669820384 3339640768 6627099649 13254199298 26508398596 53016797192 106033594384 212067188768 424134377536