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28461923742 = 23741161310247
BaseRepresentation
bin11010100000011101…
…100111110110011110
32201110120010112101210
4122200131213312132
5431242223024432
621024125445250
72025212234340
oct324035476636
981416115353
1028461923742
111108601762a
125623a10826
1328b7830ac5
141540073290
15b18aac8cc
hex6a0767d9e

28461923742 has 64 divisors (see below), whose sum is σ = 66690376704. Its totient is φ = 7927944960.

The previous prime is 28461923741. The next prime is 28461923773. The reversal of 28461923742 is 24732916482.

It is a super-2 number, since 2×284619237422 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 28461923691 and 28461923700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28461923741) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2772463 + ... + 2782709.

It is an arithmetic number, because the mean of its divisors is an integer number (1042037136).

Almost surely, 228461923742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28461923742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33345188352).

28461923742 is an abundant number, since it is smaller than the sum of its proper divisors (38228452962).

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

28461923742 is a wasteful number, since it uses less digits than its factorization.

28461923742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11913.

The product of its digits is 1161216, while the sum is 48.

The spelling of 28461923742 in words is "twenty-eight billion, four hundred sixty-one million, nine hundred twenty-three thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 14 21 41 42 82 123 246 287 574 861 1613 1722 3226 4839 9678 10247 11291 20494 22582 30741 33873 61482 66133 67746 71729 132266 143458 198399 215187 396798 420127 430374 462931 840254 925862 1260381 1388793 2520762 2777586 2940889 5881778 8822667 16528411 17645334 33056822 49585233 99170466 115698877 231397754 347096631 677664851 694193262 1355329702 2032994553 4065989106 4743653957 9487307914 14230961871 28461923742