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124838197640 = 23513313710369
BaseRepresentation
bin111010001000011101…
…1111011100110001000
3102221020012002111221122
41310100323323212020
54021132034311030
6133203323454412
712006415112612
oct1642073734610
9387205074848
10124838197640
1148a419a9672
1220240087408
13ba06674000
146083b29db2
1533a9aea8e5
hex1d10efb988

124838197640 has 128 divisors (see below), whose sum is σ = 306533052000. Its totient is φ = 45753237504.

The previous prime is 124838197637. The next prime is 124838197709. The reversal of 124838197640 is 46791838421.

It can be written as a sum of positive squares in 16 ways, for example, as 75052985764 + 49785211876 = 273958^2 + 223126^2 .

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 12034376 + ... + 12044744.

Almost surely, 2124838197640 is an apocalyptic number.

124838197640 is a gapful number since it is divisible by the number (10) 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 124838197640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153266526000).

124838197640 is an abundant number, since it is smaller than the sum of its proper divisors (181694854360).

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

124838197640 is a wasteful number, since it uses less digits than its factorization.

124838197640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10556 (or 10526 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 53.

The spelling of 124838197640 in words is "one hundred twenty-four billion, eight hundred thirty-eight million, one hundred ninety-seven thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 137 169 260 274 338 520 548 676 685 845 1096 1352 1370 1690 1781 2197 2740 3380 3562 4394 5480 6760 7124 8788 8905 10369 10985 14248 17576 17810 20738 21970 23153 35620 41476 43940 46306 51845 71240 82952 87880 92612 103690 115765 134797 185224 207380 231530 269594 300989 414760 463060 539188 601978 673985 926120 1078376 1203956 1347970 1420553 1504945 1752361 2407912 2695940 2841106 3009890 3504722 5391880 5682212 6019780 7009444 7102765 8761805 11364424 12039560 14018888 14205530 17523610 18467189 22780693 28411060 35047220 36934378 45561386 56822120 70094440 73868756 91122772 92335945 113903465 147737512 182245544 184671890 227806930 240073457 369343780 455613860 480146914 738687560 911227720 960293828 1200367285 1920587656 2400734570 3120954941 4801469140 6241909882 9602938280 12483819764 15604774705 24967639528 31209549410 62419098820 124838197640