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12693225708252 = 22335319991109327
BaseRepresentation
bin1011100010110101111100…
…1101011001101011011100
31122221110102201112211021000
42320231133031121223130
53130431211240131002
642555104250510300
72450024652216225
oct270553715315334
948843381484230
1012693225708252
114054192000881
121510047735390
13710c7353c56b
1431c4d931c24c
151702a73e561c
hexb8b5f359adc

12693225708252 has 96 divisors (see below), whose sum is σ = 33546078720000. Its totient is φ = 4149163227456.

The previous prime is 12693225708223. The next prime is 12693225708271. The reversal of 12693225708252 is 25280752239621.

It is a happy number.

12693225708252 is a `hidden beast` number, since 1 + 2 + 69 + 3 + 2 + 2 + 570 + 8 + 2 + 5 + 2 = 666.

It is a super-2 number, since 2×126932257082522 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10887613 + ... + 11996939.

It is an arithmetic number, because the mean of its divisors is an integer number (349438320000).

Almost surely, 212693225708252 is an apocalyptic number.

12693225708252 is a gapful number since it is divisible by the number (12) 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 12693225708252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16773039360000).

12693225708252 is an abundant number, since it is smaller than the sum of its proper divisors (20852853011748).

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

12693225708252 is a wasteful number, since it uses less digits than its factorization.

12693225708252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111392 (or 1111384 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 12693225708252 in words is "twelve trillion, six hundred ninety-three billion, two hundred twenty-five million, seven hundred eight thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 106 108 159 212 318 477 636 954 1431 1908 1999 2862 3998 5724 5997 7996 11994 17991 23988 35982 53973 71964 105947 107946 211894 215892 317841 423788 635682 953523 1109327 1271364 1907046 2218654 2860569 3327981 3814092 4437308 5721138 6655962 9983943 11442276 13311924 19967886 29951829 39935772 58794331 59903658 117588662 119807316 176382993 235177324 352765986 529148979 705531972 1058297958 1587446937 2116595916 2217544673 3174893874 4435089346 6349787748 6652634019 8870178692 13305268038 19957902057 26610536076 39915804114 59873706171 79831608228 117529867669 119747412342 235059735338 239494824684 352589603007 470119470676 705179206014 1057768809021 1410358412028 2115537618042 3173306427063 4231075236084 6346612854126 12693225708252