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728822812542 = 231167743221827
BaseRepresentation
bin10101001101100010011…
…10011000111101111110
32120200012220200222111120
422212301032120331332
543420112120000132
61314452214131410
7103440623455656
oct12466116307576
92520186628446
10728822812542
11261101528330
12b9301350b66
135395c9971c6
14273bd27b366
1513e596a002c
hexa9b1398f7e

728822812542 has 64 divisors (see below), whose sum is σ = 1616071993344. Its totient is φ = 217265257440.

The previous prime is 728822812493. The next prime is 728822812547. The reversal of 728822812542 is 245218228827.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728822812547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3174633 + ... + 3396459.

It is an arithmetic number, because the mean of its divisors is an integer number (25251124896).

Almost surely, 2728822812542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 728822812542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808035996672).

728822812542 is an abundant number, since it is smaller than the sum of its proper divisors (887249180802).

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

728822812542 is a wasteful number, since it uses less digits than its factorization.

728822812542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222653.

The product of its digits is 2293760, while the sum is 51.

The spelling of 728822812542 in words is "seven hundred twenty-eight billion, eight hundred twenty-two million, eight hundred twelve thousand, five hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 67 134 201 402 737 743 1474 1486 2211 2229 4422 4458 8173 16346 24519 49038 49781 99562 149343 221827 298686 443654 547591 665481 1095182 1330962 1642773 2440097 3285546 4880194 7320291 14640582 14862409 29724818 44587227 89174454 163486499 164817461 326972998 329634922 490459497 494452383 980918994 988904766 1812992071 3625984142 5438976213 10877952426 11042769887 22085539774 33128309661 66256619322 121470468757 242940937514 364411406271 728822812542