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1868011029504 = 210322326192
BaseRepresentation
bin11011001011101110001…
…000100100010000000000
320121120122220022102202100
4123023232020210100000
5221101141310421004
63550052531150400
7251650024523634
oct33135610442000
96546586272670
101868011029504
11660245588794
12262049145400
131071ca5a7829
14665ab19adc4
15338d0734739
hex1b2ee224400

1868011029504 has 297 divisors, whose sum is σ = 5647676293623. Its totient is φ = 594635526144.

The previous prime is 1868011029457. The next prime is 1868011029509. The reversal of 1868011029504 is 4059201108681.

It is a happy number.

The square root of 1868011029504 is 1366752.

It is a perfect power (a square), and thus also a powerful number.

1868011029504 is a `hidden beast` number, since 1 + 8 + 6 + 8 + 0 + 110 + 29 + 504 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1868011029504.

It is not an unprimeable number, because it can be changed into a prime (1868011029509) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3017788107 + ... + 3017788725.

Almost surely, 21868011029504 is an apocalyptic number.

1868011029504 is the 1366752-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1868011029504

1868011029504 is an abundant number, since it is smaller than the sum of its proper divisors (3779665264119).

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

1868011029504 is an frugal number, since it uses more digits than its factorization.

1868011029504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 1868011029504 in words is "one trillion, eight hundred sixty-eight billion, eleven million, twenty-nine thousand, five hundred four".