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28029641361804 = 2234641857157483
BaseRepresentation
bin1100101111110001010001…
…10100010000100110001100
310200020121101220022002210000
412113320220310100212030
512133214201142034204
6135340350043244300
75622034433324445
oct627705064204614
9120217356262700
1028029641361804
118a273388aa0a5
1231883ba219690
131284250b81024
146cc8db46a2cc
153391ae1d2039
hex197e28d1098c

28029641361804 has 120 divisors (see below), whose sum is σ = 73475434560528. Its totient is φ = 9317693399040.

The previous prime is 28029641361797. The next prime is 28029641361829. The reversal of 28029641361804 is 40816314692082.

28029641361804 is a `hidden beast` number, since 2 + 8 + 0 + 2 + 9 + 6 + 4 + 13 + 618 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 177906447 + ... + 178063929.

Almost surely, 228029641361804 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 28029641361804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36737717280264).

28029641361804 is an abundant number, since it is smaller than the sum of its proper divisors (45445793198724).

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

28029641361804 is a wasteful number, since it uses less digits than its factorization.

28029641361804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158997 (or 158986 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 28029641361804 in words is "twenty-eight trillion, twenty-nine billion, six hundred forty-one million, three hundred sixty-one thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 641 857 1282 1714 1923 2564 2571 3428 3846 5142 5769 7692 7713 10284 11538 15426 17307 23076 23139 30852 34614 46278 51921 69228 69417 92556 103842 138834 157483 207684 277668 314966 472449 549337 629932 944898 1098674 1417347 1648011 1889796 2197348 2834694 3296022 4252041 4944033 5669388 6592044 8504082 9888066 12756123 14832099 17008164 19776132 25512246 29664198 44496297 51024492 59328396 88992594 100946603 134962931 177985188 201893206 269925862 302839809 403786412 404888793 539851724 605679618 809777586 908519427 1211359236 1214666379 1619555172 1817038854 2429332758 2725558281 3634077708 3643999137 4858665516 5451116562 7287998274 8176674843 10902233124 10931997411 14575996548 16353349686 21863994822 32706699372 43727989644 86511238771 173022477542 259533716313 346044955084 519067432626 778601148939 1038134865252 1557202297878 2335803446817 3114404595756 4671606893634 7007410340451 9343213787268 14014820680902 28029641361804