Search a number
-
+
2641346012544 = 27361112762381
BaseRepresentation
bin100110011011111100011…
…111011010010110000000
3100100111202221111222001020
4212123330133122112000
5321233434034400134
65341230111505440
7361555005443511
oct46337437322600
910314687458036
102641346012544
11929208a67588
12367ab1528280
1316210209c555
1491badd9ca08
1548a92ab0b49
hex266fc7da580

2641346012544 has 64 divisors (see below), whose sum is σ = 7131093037680. Its totient is φ = 866015078400.

The previous prime is 2641346012521. The next prime is 2641346012551. The reversal of 2641346012544 is 4452106431462.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 2641346012496 and 2641346012505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56357767 + ... + 56404614.

Almost surely, 22641346012544 is an apocalyptic number.

2641346012544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2641346012544 is an abundant number, since it is smaller than the sum of its proper divisors (4489747025136).

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

2641346012544 is a wasteful number, since it uses less digits than its factorization.

2641346012544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112762459 (or 112762447 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

The spelling of 2641346012544 in words is "two trillion, six hundred forty-one billion, three hundred forty-six million, twelve thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 128 183 192 244 366 384 488 732 976 1464 1952 2928 3904 5856 7808 11712 23424 112762381 225524762 338287143 451049524 676574286 902099048 1353148572 1804198096 2706297144 3608396192 5412594288 6878505241 7216792384 10825188576 13757010482 14433584768 20635515723 21650377152 27514020964 41271031446 43300754304 55028041928 82542062892 110056083856 165084125784 220112167712 330168251568 440224335424 660336503136 880448670848 1320673006272 2641346012544