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1008971090988 = 2237315359123911
BaseRepresentation
bin11101010111010110101…
…11010000110000101100
310120110022221010001210020
432223223113100300230
5113012333044402423
62051303120042140
7132616146524160
oct16535327206054
93513287101706
101008971090988
113599a1971383
12143666463350
13741b7a665c3
1436b97a94ca0
151b3a41324e3
hexeaeb5d0c2c

1008971090988 has 192 divisors, whose sum is σ = 2877771939840. Its totient is φ = 269073043200.

The previous prime is 1008971090983. The next prime is 1008971091001. The reversal of 1008971090988 is 8890901798001.

It is a super-2 number, since 2×10089710909882 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1008971090983) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8080753 + ... + 8204663.

It is an arithmetic number, because the mean of its divisors is an integer number (14988395520).

Almost surely, 21008971090988 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1008971090988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1438885969920).

1008971090988 is an abundant number, since it is smaller than the sum of its proper divisors (1868800848852).

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

1008971090988 is a wasteful number, since it uses less digits than its factorization.

1008971090988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124068 (or 124066 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 60.

The spelling of 1008971090988 in words is "one trillion, eight billion, nine hundred seventy-one million, ninety thousand, nine hundred eighty-eight".