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146702747120 = 24517153170457
BaseRepresentation
bin1000100010100000101…
…0100100010111110000
3112000122222002201020112
42020220022210113300
54400421400401440
6151221101000452
713412300530046
oct2105012442760
9460588081215
10146702747120
1157241970276
1224522553128
1310aac41c657
1471598cc396
153c393c0965
hex22282a45f0

146702747120 has 80 divisors (see below), whose sum is σ = 361388664288. Its totient is φ = 55192412160.

The previous prime is 146702747089. The next prime is 146702747131. The reversal of 146702747120 is 21747207641.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2046932 + ... + 2117388.

Almost surely, 2146702747120 is an apocalyptic number.

146702747120 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 146702747120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180694332144).

146702747120 is an abundant number, since it is smaller than the sum of its proper divisors (214685917168).

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

146702747120 is a wasteful number, since it uses less digits than its factorization.

146702747120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72018 (or 72012 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 41.

The spelling of 146702747120 in words is "one hundred forty-six billion, seven hundred two million, seven hundred forty-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 1531 3062 6124 7655 12248 15310 24496 26027 30620 52054 61240 70457 104108 122480 130135 140914 208216 260270 281828 352285 416432 520540 563656 704570 1041080 1127312 1197769 1409140 2082160 2395538 2818280 4791076 5636560 5988845 9582152 11977690 19164304 23955380 47910760 95821520 107869667 215739334 431478668 539348335 862957336 1078696670 1725914672 1833784339 2157393340 3667568678 4314786680 7335137356 8629573360 9168921695 14670274712 18337843390 29340549424 36675686780 73351373560 146702747120