Search a number
-
+
1157555642880 = 29357131656301
BaseRepresentation
bin10000110110000011101…
…100010110001000000000
311002122212001011100212210
4100312003230112020000
5122431133221033010
62243435042422120
7146426210422440
oct20660354261000
94078761140783
101157555642880
11406a09a8a3aa
12168413061940
1385206cb89b0
1440051472120
152019d819b20
hex10d83b16200

1157555642880 has 320 divisors, whose sum is σ = 4554538990848. Its totient is φ = 244231372800.

The previous prime is 1157555642869. The next prime is 1157555642897. The reversal of 1157555642880 is 882465557511.

It is a tau number, because it is divible by the number of its divisors (320).

It is a self number, because there is not a number n which added to its sum of digits gives 1157555642880.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129271 + ... + 1527030.

Almost surely, 21157555642880 is an apocalyptic number.

1157555642880 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 1157555642880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2277269495424).

1157555642880 is an abundant number, since it is smaller than the sum of its proper divisors (3396983347968).

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

1157555642880 is a wasteful number, since it uses less digits than its factorization.

1157555642880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1656347 (or 1656331 counting only the distinct ones).

The product of its (nonzero) digits is 13440000, while the sum is 57.

The spelling of 1157555642880 in words is "one trillion, one hundred fifty-seven billion, five hundred fifty-five million, six hundred forty-two thousand, eight hundred eighty".