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22738816496 = 2411375576269
BaseRepresentation
bin10101001011010101…
…101100110111110000
32011200201002120011202
4111023111230313300
5333032114111441
614240203430332
71433326515434
oct251325546760
964621076152
1022738816496
119709518430
1244a72253a8
1321b4c32306
141159d409c4
158d141c19b
hex54b56cdf0

22738816496 has 80 divisors (see below), whose sum is σ = 49457057760. Its totient is φ = 10036823040.

The previous prime is 22738816487. The next prime is 22738816511. The reversal of 22738816496 is 69461883722.

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 15 ways as a sum of consecutive naturals, for example, 3624050 + ... + 3630318.

It is an arithmetic number, because the mean of its divisors is an integer number (618213222).

Almost surely, 222738816496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22738816496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24728528880).

22738816496 is an abundant number, since it is smaller than the sum of its proper divisors (26718241264).

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

22738816496 is a wasteful number, since it uses less digits than its factorization.

22738816496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6882 (or 6876 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 56.

The spelling of 22738816496 in words is "twenty-two billion, seven hundred thirty-eight million, eight hundred sixteen thousand, four hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 37 44 74 88 148 176 296 407 557 592 814 1114 1628 2228 3256 4456 6127 6269 6512 8912 12254 12538 20609 24508 25076 41218 49016 50152 68959 82436 98032 100304 137918 164872 226699 231953 275836 329744 453398 463906 551672 906796 927812 1103344 1813592 1855624 2551483 3491833 3627184 3711248 5102966 6983666 10205932 13967332 20411864 27934664 38410163 40823728 55869328 76820326 129197821 153640652 258395642 307281304 516791284 614562608 1033582568 1421176031 2067165136 2842352062 5684704124 11369408248 22738816496