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1474450720020 = 223253715711291249
BaseRepresentation
bin10101011101001100000…
…111001000010100010100
312012221211000011020102200
4111131030013020110110
5143124133341020040
63045204152004500
7211345156221555
oct25351407102424
95187730136380
101474450720020
11519346aa1173
121b9912690730
13a906a162565
145151438032c
1528549377630
hex1574c1c8514

1474450720020 has 288 divisors, whose sum is σ = 4630434900000. Its totient is φ = 379482734592.

The previous prime is 1474450720009. The next prime is 1474450720027. The reversal of 1474450720020 is 200270544741.

1474450720020 is a `hidden beast` number, since 1 + 4 + 7 + 445 + 0 + 7 + 200 + 2 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 516311228304 + 958139491716 = 718548^2 + 978846^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1474450720027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1180504356 + ... + 1180505604.

Almost surely, 21474450720020 is an apocalyptic number.

1474450720020 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 1474450720020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2315217450000).

1474450720020 is an abundant number, since it is smaller than the sum of its proper divisors (3155984179980).

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

1474450720020 is a wasteful number, since it uses less digits than its factorization.

1474450720020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2587 (or 2582 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 36.

The spelling of 1474450720020 in words is "one trillion, four hundred seventy-four billion, four hundred fifty million, seven hundred twenty thousand, twenty".