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1007147545152 = 26374161929527
BaseRepresentation
bin11101010011111101010…
…10111111001001000000
310120021121211210100011120
432221332222333021000
5113000114232421102
62050402135112240
7132523024612050
oct16517652771100
93507554710146
101007147545152
11359146595401
12143237812680
1373c870211b8
1436a6380d560
151b2e8ec76bc
hexea7eabf240

1007147545152 has 224 divisors, whose sum is σ = 3124846663680. Its totient is φ = 280274964480.

The previous prime is 1007147545141. The next prime is 1007147545177. The reversal of 1007147545152 is 2515457417001.

It is a tau number, because it is divible by the number of its divisors (224).

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

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, 34094613 + ... + 34124139.

It is an arithmetic number, because the mean of its divisors is an integer number (13950208320).

Almost surely, 21007147545152 is an apocalyptic number.

1007147545152 is a gapful number since it is divisible by the number (12) 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 1007147545152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562423331840).

1007147545152 is an abundant number, since it is smaller than the sum of its proper divisors (2117699118528).

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

1007147545152 is a wasteful number, since it uses less digits than its factorization.

1007147545152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30209 (or 30199 counting only the distinct ones).

The product of its (nonzero) digits is 196000, while the sum is 42.

The spelling of 1007147545152 in words is "one trillion, seven billion, one hundred forty-seven million, five hundred forty-five thousand, one hundred fifty-two".