Search a number
-
+
499994133760 = 28511275312899
BaseRepresentation
bin1110100011010011111…
…10010000010100000000
31202210120110011200021101
413101221332100110000
531142441444240020
61021405533304144
751060215004532
oct7215176202400
91683513150241
10499994133760
11183056721070
1280a9b035054
13381c2b75924
141a2b2537852
15d01537500a
hex7469f90500

499994133760 has 144 divisors (see below), whose sum is σ = 1307094667200. Its totient is φ = 181735915520.

The previous prime is 499994133733. The next prime is 499994133767. The reversal of 499994133760 is 67331499994.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a junction number, because it is equal to n+sod(n) for n = 499994133692 and 499994133701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (499994133767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38755791 + ... + 38768689.

It is an arithmetic number, because the mean of its divisors is an integer number (9077046300).

Almost surely, 2499994133760 is an apocalyptic number.

499994133760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 499994133760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653547333600).

499994133760 is an abundant number, since it is smaller than the sum of its proper divisors (807100533440).

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

499994133760 is a wasteful number, since it uses less digits than its factorization.

499994133760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15684 (or 15670 counting only the distinct ones).

The product of its (nonzero) digits is 39680928, while the sum is 64.

The spelling of 499994133760 in words is "four hundred ninety-nine billion, nine hundred ninety-four million, one hundred thirty-three thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 640 704 880 1280 1408 1760 2753 2816 3520 5506 7040 11012 12899 13765 14080 22024 25798 27530 30283 44048 51596 55060 60566 64495 88096 103192 110120 121132 128990 141889 151415 176192 206384 220240 242264 257980 283778 302830 352384 412768 440480 484528 515960 567556 605660 704768 709445 825536 880960 969056 1031920 1135112 1211320 1418890 1651072 1761920 1938112 2063840 2270224 2422640 2837780 3302144 3523840 3876224 4127680 4540448 4845280 5675560 7752448 8255360 9080896 9690560 11351120 16510720 18161792 19381120 22702240 35510947 36323584 38762240 45404480 71021894 90808960 142043788 177554735 181617920 284087576 355109470 390620417 568175152 710218940 781240834 1136350304 1420437880 1562481668 1953102085 2272700608 2840875760 3124963336 3906204170 4545401216 5681751520 6249926672 7812408340 9090802432 11363503040 12499853344 15624816680 22727006080 24999706688 31249633360 45454012160 49999413376 62499266720 99998826752 124998533440 249997066880 499994133760