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145907437788 = 22327311816281
BaseRepresentation
bin1000011111100011000…
…0101101000011011100
3111221121112120210221100
42013320300231003130
54342304301002123
6151010130433100
713353502521000
oct2077060550334
9457545523840
10145907437788
1156973a43632
1224340132790
13109b371c808
1470c2024700
153bde673643
hex21f8c2d0dc

145907437788 has 72 divisors (see below), whose sum is σ = 430112664800. Its totient is φ = 41687835840.

The previous prime is 145907437777. The next prime is 145907437799. The reversal of 145907437788 is 887734709541.

145907437788 is a `hidden beast` number, since 1 + 4 + 590 + 7 + 4 + 37 + 7 + 8 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (145907437777) and next prime (145907437799).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5895793 + ... + 5920488.

Almost surely, 2145907437788 is an apocalyptic number.

145907437788 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

145907437788 is an abundant number, since it is smaller than the sum of its proper divisors (284205227012).

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

145907437788 is a wasteful number, since it uses less digits than its factorization.

145907437788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11816312 (or 11816293 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 63.

The spelling of 145907437788 in words is "one hundred forty-five billion, nine hundred seven million, four hundred thirty-seven thousand, seven hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 343 441 588 686 882 1029 1372 1764 2058 3087 4116 6174 12348 11816281 23632562 35448843 47265124 70897686 82713967 106346529 141795372 165427934 212693058 248141901 330855868 425386116 496283802 578997769 744425703 992567604 1157995538 1488851406 1736993307 2315991076 2977702812 3473986614 4052984383 5210979921 6947973228 8105968766 10421959842 12158953149 16211937532 20843919684 24317906298 36476859447 48635812596 72953718894 145907437788