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2954201800704 = 213371117131701
BaseRepresentation
bin101010111111010100001…
…001100010000000000000
3101110102022101212200210120
4222333110021202000000
5341400201130110304
610141050325100240
7423301605662130
oct52772411420000
911412271780716
102954201800704
11a3996299a7a0
123b8664257680
131857704496ab
14a2dac64aac0
1551ca3bd70d9
hex2afd4262000

2954201800704 has 896 divisors, whose sum is σ = 10493206124544. Its totient is φ = 715653120000.

The previous prime is 2954201800639. The next prime is 2954201800717. The reversal of 2954201800704 is 4070081024592.

It is a tau number, because it is divible by the number of its divisors (896).

It is a super-2 number, since 2×29542018007042 (a number of 26 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 4214267554 + ... + 4214268254.

Almost surely, 22954201800704 is an apocalyptic number.

2954201800704 is a gapful number since it is divisible by the number (24) 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 2954201800704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5246603062272).

2954201800704 is an abundant number, since it is smaller than the sum of its proper divisors (7539004323840).

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

2954201800704 is a wasteful number, since it uses less digits than its factorization.

2954201800704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 2954201800704 in words is "two trillion, nine hundred fifty-four billion, two hundred one million, eight hundred thousand, seven hundred four".