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1261144992744 = 2332713292765761
BaseRepresentation
bin10010010110100010000…
…110010110101111101000
311110120020100210120111100
4102112202012112233220
5131130311104231434
62403210110001400
7160054230365010
oct22264206265750
94416210716440
101261144992744
1144693751a14a
12184502aa6260
1391c05319aa0
144507b0acc40
1522c12c10699
hex125a2196be8

1261144992744 has 192 divisors, whose sum is σ = 4205316810240. Its totient is φ = 332490977280.

The previous prime is 1261144992739. The next prime is 1261144992749. The reversal of 1261144992744 is 4472994411621.

1261144992744 is a `hidden beast` number, since 12 + 6 + 114 + 499 + 27 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1261144992739) and next prime (1261144992749).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1261144992749) 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 47 ways as a sum of consecutive naturals, for example, 19144824 + ... + 19210584.

It is an arithmetic number, because the mean of its divisors is an integer number (21902691720).

Almost surely, 21261144992744 is an apocalyptic number.

1261144992744 is a gapful number since it is divisible by the number (14) 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 1261144992744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2102658405120).

1261144992744 is an abundant number, since it is smaller than the sum of its proper divisors (2944171817496).

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

1261144992744 is a wasteful number, since it uses less digits than its factorization.

1261144992744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68720 (or 68713 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 1261144992744 in words is "one trillion, two hundred sixty-one billion, one hundred forty-four million, nine hundred ninety-two thousand, seven hundred forty-four".