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145372738560 = 21035771137139
BaseRepresentation
bin1000011101100011100…
…0111111010000000000
3111220020021110021111020
42013120320333100000
54340210410113220
6150441110145440
713334320614060
oct2073070772000
9456207407436
10145372738560
115671a137145
1224211052280
1310929a0883a
147070dd93a0
153bac754040
hex21d8e3f400

145372738560 has 704 divisors, whose sum is σ = 546712104960. Its totient is φ = 32286965760.

The previous prime is 145372738543. The next prime is 145372738597. The reversal of 145372738560 is 65837273541.

It is a super-2 number, since 2×1453727385602 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 1045846971 + ... + 1045847109.

Almost surely, 2145372738560 is an apocalyptic number.

145372738560 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 145372738560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273356052480).

145372738560 is an abundant number, since it is smaller than the sum of its proper divisors (401339366400).

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

145372738560 is a wasteful number, since it uses less digits than its factorization.

145372738560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 51.

The spelling of 145372738560 in words is "one hundred forty-five billion, three hundred seventy-two million, seven hundred thirty-eight thousand, five hundred sixty".