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1247131003680 = 25325866063197
BaseRepresentation
bin10010001001011110110…
…011001110101100100000
311102020001201000011112100
4102021132303032230200
5130413111014104210
62352531333330400
7156050032424022
oct22113663165440
94366051004470
101247131003680
114409a5a36801
12181851796a00
13907b0b50773
144450bbd4012
15226927675c0
hex1225ecceb20

1247131003680 has 72 divisors (see below), whose sum is σ = 4255834554972. Its totient is φ = 332568267264.

The previous prime is 1247131003631. The next prime is 1247131003681. The reversal of 1247131003680 is 863001317421.

It is a happy number.

1247131003680 is a `hidden beast` number, since 1 + 2 + 471 + 3 + 100 + 3 + 6 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1110553453584 + 136577550096 = 1053828^2 + 369564^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1247131003681) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 433030159 + ... + 433033038.

Almost surely, 21247131003680 is an apocalyptic number.

1247131003680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1247131003680 is an abundant number, since it is smaller than the sum of its proper divisors (3008703551292).

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

1247131003680 is a wasteful number, since it uses less digits than its factorization.

1247131003680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866063218 (or 866063207 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 1247131003680 in words is "one trillion, two hundred forty-seven billion, one hundred thirty-one million, three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 866063197 1732126394 2598189591 3464252788 4330315985 5196379182 6928505576 7794568773 8660631970 10392758364 12990947955 13857011152 15589137546 17321263940 20785516728 25981895910 27714022304 31178275092 34642527880 38972843865 41571033456 51963791820 62356550184 69285055760 77945687730 83142066912 103927583640 124713100368 138570111520 155891375460 207855167280 249426200736 311782750920 415710334560 623565501840 1247131003680