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1051391288640 = 2635711109113037
BaseRepresentation
bin11110100110010111100…
…11011110010101000000
310201111211021012101022210
433103023303132111000
5114211222132214030
62123000312102120
7135650312332620
oct17231363362500
93644737171283
101051391288640
1137598aa77770
1214b924994940
13781b8356b84
1438c5d85c880
151c53832ebb0
hexf4cbcde540

1051391288640 has 448 divisors, whose sum is σ = 4166005229568. Its totient is φ = 218253926400.

The previous prime is 1051391288627. The next prime is 1051391288653. The reversal of 1051391288640 is 468821931501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1051391288627) and next prime (1051391288653).

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×10513912886402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1051391288640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80640202 + ... + 80653238.

It is an arithmetic number, because the mean of its divisors is an integer number (9299118816).

Almost surely, 21051391288640 is an apocalyptic number.

1051391288640 is a gapful number since it is divisible by the number (10) 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 1051391288640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2083002614784).

1051391288640 is an abundant number, since it is smaller than the sum of its proper divisors (3114613940928).

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

1051391288640 is a wasteful number, since it uses less digits than its factorization.

1051391288640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14166 (or 14156 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 48.

The spelling of 1051391288640 in words is "one trillion, fifty-one billion, three hundred ninety-one million, two hundred eighty-eight thousand, six hundred forty".