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145473926400 = 2834521197263
BaseRepresentation
bin1000011101111011101…
…0111111010100000000
3111220111022212011010000
42013132322333110000
54340412311121100
6150455123040000
713336656654255
oct2073672772400
9456438764100
10145473926400
115677126a060
122423ab10000
1310944976bba
14708061942c
153bb6590900
hex21deebf500

145473926400 has 1080 divisors, whose sum is σ = 595085287104. Its totient is φ = 34770124800.

The previous prime is 145473926399. The next prime is 145473926461. The reversal of 145473926400 is 4629374541.

145473926400 is a `hidden beast` number, since 1 + 454 + 73 + 92 + 6 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 553132669 + ... + 553132931.

Almost surely, 2145473926400 is an apocalyptic number.

145473926400 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 145473926400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297542643552).

145473926400 is an abundant number, since it is smaller than the sum of its proper divisors (449611360704).

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

145473926400 is a wasteful number, since it uses less digits than its factorization.

145473926400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 145473926400 in words is "one hundred forty-five billion, four hundred seventy-three million, nine hundred twenty-six thousand, four hundred".