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145873551780 = 223351175732441
BaseRepresentation
bin1000011111011010111…
…1011100000110100100
3111221112011211020002000
42013312233130012210
54342222112124110
6151002520245300
713352611505655
oct2076657340644
9457464736060
10145873551780
11569568a9570
1224330910830
13109a96b6b18
1470bb72352c
153bdb6cd1c0
hex21f6bdc1a4

145873551780 has 192 divisors, whose sum is σ = 495755285760. Its totient is φ = 35315481600.

The previous prime is 145873551763. The next prime is 145873551793. The reversal of 145873551780 is 87155378541.

145873551780 is a `hidden beast` number, since 1 + 4 + 5 + 8 + 7 + 3 + 551 + 7 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 4480360 + ... + 4512800.

It is an arithmetic number, because the mean of its divisors is an integer number (2582058780).

Almost surely, 2145873551780 is an apocalyptic number.

145873551780 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 145873551780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247877642880).

145873551780 is an abundant number, since it is smaller than the sum of its proper divisors (349881733980).

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

145873551780 is a wasteful number, since it uses less digits than its factorization.

145873551780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33227 (or 33219 counting only the distinct ones).

The product of its (nonzero) digits is 4704000, while the sum is 54.

The spelling of 145873551780 in words is "one hundred forty-five billion, eight hundred seventy-three million, five hundred fifty-one thousand, seven hundred eighty".