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2680961494140 = 2232599713149371
BaseRepresentation
bin100111000000110101110…
…000011110110001111100
3100111022000211000221110100
4213000311300132301330
5322411102120303030
65411341113041100
7364456503462426
oct47006560366174
910438024027410
102680961494140
11943a97964216
123737086b6190
13165a765a1117
1493a8b475816
1549b10941360
hex27035c1ec7c

2680961494140 has 72 divisors (see below), whose sum is σ = 8132385865968. Its totient is φ = 714911109120.

The previous prime is 2680961494111. The next prime is 2680961494147. The reversal of 2680961494140 is 414941690862.

2680961494140 is a `hidden beast` number, since 2 + 6 + 8 + 0 + 9 + 6 + 1 + 494 + 140 = 666.

2680961494140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×26809614941402 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2680961494147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17873655 + ... + 18023025.

It is an arithmetic number, because the mean of its divisors is an integer number (112949803694).

Almost surely, 22680961494140 is an apocalyptic number.

2680961494140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2680961494140 is an abundant number, since it is smaller than the sum of its proper divisors (5451424371828).

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

2680961494140 is a wasteful number, since it uses less digits than its factorization.

2680961494140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249099 (or 249094 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 2680961494140 in words is "two trillion, six hundred eighty billion, nine hundred sixty-one million, four hundred ninety-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 99713 149371 199426 298742 299139 398852 448113 498565 597484 598278 746855 896226 897417 997130 1196556 1344339 1493710 1495695 1792452 1794834 1994260 2240565 2688678 2987420 2991390 3589668 4481130 4487085 5377356 5982780 6721695 8962260 8974170 13443390 17948340 26886780 14894230523 29788461046 44682691569 59576922092 74471152615 89365383138 134048074707 148942305230 178730766276 223413457845 268096149414 297884610460 446826915690 536192298828 670240373535 893653831380 1340480747070 2680961494140