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1464399390688 = 25132433625367
BaseRepresentation
bin10101010011110101000…
…000010110011111100000
312011222212111210210200221
4111103311000112133200
5142443042221000223
63040422533052424
7210541116304453
oct25236500263740
95158774723627
101464399390688
11515059308723
121b7988487114
13a8127942900
1450c3d49949a
152815bc2ab5d
hex154f50167e0

1464399390688 has 72 divisors (see below), whose sum is σ = 3129082569648. Its totient is φ = 674314647552.

The previous prime is 1464399390683. The next prime is 1464399390697. The reversal of 1464399390688 is 8860939934641.

It is a super-2 number, since 2×14643993906882 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1464399390683) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2028981 + ... + 2654347.

It is an arithmetic number, because the mean of its divisors is an integer number (43459480134).

Almost surely, 21464399390688 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 1464399390688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1564541284824).

1464399390688 is an abundant number, since it is smaller than the sum of its proper divisors (1664683178960).

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

1464399390688 is a wasteful number, since it uses less digits than its factorization.

1464399390688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625836 (or 625815 counting only the distinct ones).

The product of its (nonzero) digits is 241864704, while the sum is 70.

The spelling of 1464399390688 in words is "one trillion, four hundred sixty-four billion, three hundred ninety-nine million, three hundred ninety thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 169 208 338 416 433 676 866 1352 1732 2704 3464 5408 5629 6928 11258 13856 22516 45032 73177 90064 146354 180128 292708 585416 625367 1170832 1250734 2341664 2501468 5002936 8129771 10005872 16259542 20011744 32519084 65038168 105687023 130076336 211374046 260152672 270783911 422748092 541567822 845496184 1083135644 1690992368 2166271288 3381984736 3520190843 4332542576 7040381686 8665085152 14080763372 28161526744 45762480959 56323053488 91524961918 112646106976 183049923836 366099847672 732199695344 1464399390688