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25098746000680 = 235112291217204679
BaseRepresentation
bin1011011010011110000011…
…10101101111010100101000
310021212102020202121012122101
411231033001311233110220
511242204212434010210
6125214112120103144
75200216215651622
oct555170165572450
9107772222535571
1025098746000680
117aa7355881420
12299437b304ab4
131100a561376b1
1462ab002b9c12
152d7d2168ba3a
hex16d3c1d6f528

25098746000680 has 128 divisors (see below), whose sum is σ = 61926179616000. Its totient is φ = 9079450583040.

The previous prime is 25098746000659. The next prime is 25098746000681. The reversal of 25098746000680 is 8600064789052.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is not an unprimeable number, because it can be changed into a prime (25098746000681) 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, 122522581 + ... + 122727259.

It is an arithmetic number, because the mean of its divisors is an integer number (483798278250).

Almost surely, 225098746000680 is an apocalyptic number.

25098746000680 is a gapful number since it is divisible by the number (20) 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 25098746000680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30963089808000).

25098746000680 is an abundant number, since it is smaller than the sum of its proper divisors (36827433615320).

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

25098746000680 is a wasteful number, since it uses less digits than its factorization.

25098746000680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206147 (or 206143 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 55.

The spelling of 25098746000680 in words is "twenty-five trillion, ninety-eight billion, seven hundred forty-six million, six hundred eighty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 229 440 458 916 1145 1217 1832 2290 2434 2519 4580 4868 5038 6085 9160 9736 10076 12170 12595 13387 20152 24340 25190 26774 48680 50380 53548 66935 100760 107096 133870 204679 267740 278693 409358 535480 557386 818716 1023395 1114772 1393465 1637432 2046790 2229544 2251469 2786930 3065623 4093580 4502938 5573860 6131246 8187160 9005876 11147720 11257345 12262492 15328115 18011752 22514690 24524984 30656230 45029380 46871491 61312460 90058760 93742982 122624920 187485964 234357455 249094343 374971928 468714910 498188686 515586401 937429820 996377372 1031172802 1245471715 1874859640 1992754744 2062345604 2490943430 2577932005 2740037773 4124691208 4981886860 5155864010 5480075546 9963773720 10311728020 10960151092 13700188865 20623456040 21920302184 27400377730 54800755460 57042604547 109601510920 114085209094 228170418188 285213022735 456340836376 570426045470 627468650017 1140852090940 1254937300034 2281704181880 2509874600068 3137343250085 5019749200136 6274686500170 12549373000340 25098746000680