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10354232064 = 283111225643
BaseRepresentation
bin10011010010010100…
…10000101100000000
3222201121022111011110
421221022100230000
5132201140411224
64431235043320
7514405343331
oct115112205400
928647274143
1010354232064
11443376a890
12200b740540
13c901c5a47
14703212288
15409030929
hex269290b00

10354232064 has 72 divisors (see below), whose sum is σ = 30062596032. Its totient is φ = 3137643520.

The previous prime is 10354232017. The next prime is 10354232113. The reversal of 10354232064 is 46023245301.

It is a super-3 number, since 3×103542320643 (a number of 31 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 604374 + ... + 621269.

It is an arithmetic number, because the mean of its divisors is an integer number (417536056).

Almost surely, 210354232064 is an apocalyptic number.

It is an amenable number.

10354232064 is an abundant number, since it is smaller than the sum of its proper divisors (19708363968).

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

10354232064 is a wasteful number, since it uses less digits than its factorization.

10354232064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225673 (or 1225659 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 10354232064 its reverse (46023245301), we get a palindrome (56377477365).

The spelling of 10354232064 in words is "ten billion, three hundred fifty-four million, two hundred thirty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 1056 1408 2112 2816 4224 8448 1225643 2451286 3676929 4902572 7353858 9805144 13482073 14707716 19610288 26964146 29415432 39220576 40446219 53928292 58830864 78441152 80892438 107856584 117661728 156882304 161784876 215713168 235323456 313764608 323569752 431426336 470646912 647139504 862852672 941293824 1294279008 1725705344 2588558016 3451410688 5177116032 10354232064