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1261759421380 = 2251733131165081
BaseRepresentation
bin10010010111000110101…
…110001101101111000100
311110121211011221210010111
4102113012232031233010
5131133040402441010
62403351055202404
7160105401060103
oct22270656155704
94417734853114
101261759421380
11447122332507
12184654816404
1391ca26c7c23
14450d893003a
1522c4bb2d58a
hex125c6b8dbc4

1261759421380 has 48 divisors (see below), whose sum is σ = 2673527646384. Its totient is φ = 500182824960.

The previous prime is 1261759421369. The next prime is 1261759421393. The reversal of 1261759421380 is 831249571621.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 266206466304 + 995552955076 = 515952^2 + 997774^2 .

It is a super-2 number, since 2×12617594213802 (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 500440 + ... + 1665520.

It is an arithmetic number, because the mean of its divisors is an integer number (55698492633).

It is a 1-persistent number, because it is pandigital, but 2⋅1261759421380 = 2523518842760 is not.

Almost surely, 21261759421380 is an apocalyptic number.

1261759421380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1261759421380 is an abundant number, since it is smaller than the sum of its proper divisors (1411768225004).

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

1261759421380 is a wasteful number, since it uses less digits than its factorization.

1261759421380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165576 (or 1165574 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 49.

The spelling of 1261759421380 in words is "one trillion, two hundred sixty-one billion, seven hundred fifty-nine million, four hundred twenty-one thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 173 313 346 626 692 865 1252 1565 1730 3130 3460 6260 54149 108298 216596 270745 541490 1082980 1165081 2330162 4660324 5825405 11650810 23301620 201559013 364670353 403118026 729340706 806236052 1007795065 1458681412 1823351765 2015590130 3646703530 4031180260 7293407060 63087971069 126175942138 252351884276 315439855345 630879710690 1261759421380