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1131007623648 = 25371683047059
BaseRepresentation
bin10000011101010101010…
…011101100000111100000
311000010022212101020220020
4100131111103230013200
5122012300422424043
62223324442313440
7144466265115450
oct20352523540740
94003285336806
101131007623648
113a6726355641
121632441b8880
1382865b49586
143ca53685d60
151e647cb4e83
hex107554ec1e0

1131007623648 has 48 divisors (see below), whose sum is σ = 3393022872960. Its totient is φ = 323145035136.

The previous prime is 1131007623619. The next prime is 1131007623727. The reversal of 1131007623648 is 8463267001311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 841522858 + ... + 841524201.

It is an arithmetic number, because the mean of its divisors is an integer number (70687976520).

Almost surely, 21131007623648 is an apocalyptic number.

It is an amenable number.

1131007623648 is an abundant number, since it is smaller than the sum of its proper divisors (2262015249312).

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

1131007623648 is a wasteful number, since it uses less digits than its factorization.

1131007623648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1683047079 (or 1683047071 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 1131007623648 in words is "one trillion, one hundred thirty-one billion, seven million, six hundred twenty-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 1683047059 3366094118 5049141177 6732188236 10098282354 11781329413 13464376472 20196564708 23562658826 26928752944 35343988239 40393129416 47125317652 53857505888 70687976478 80786258832 94250635304 141375952956 161572517664 188501270608 282751905912 377002541216 565503811824 1131007623648