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137373257473400 = 235213102235168333
BaseRepresentation
bin11111001111000010110100…
…001101101001110101111000
3200000101202101111202112012202
4133033002310031221311320
5121001210412403122100
61204100223034325332
740635614245146104
oct3717026415516570
9600352344675182
10137373257473400
113a853742591913
12134a7a35b89848
135b8631cc994c0
1425ccc88a18904
1510d35d8a197d5
hex7cf0b4369d78

137373257473400 has 96 divisors (see below), whose sum is σ = 343995214772160. Its totient is φ = 50717462115840.

The previous prime is 137373257473349. The next prime is 137373257473421. The reversal of 137373257473400 is 4374752373731.

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, 23995634 + ... + 29163966.

It is an arithmetic number, because the mean of its divisors is an integer number (3583283487210).

Almost surely, 2137373257473400 is an apocalyptic number.

137373257473400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137373257473400 is an abundant number, since it is smaller than the sum of its proper divisors (206621957298760).

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

137373257473400 is a wasteful number, since it uses less digits than its factorization.

137373257473400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5178585 (or 5178576 counting only the distinct ones).

The product of its (nonzero) digits is 31116960, while the sum is 56.

The spelling of 137373257473400 in words is "one hundred thirty-seven trillion, three hundred seventy-three billion, two hundred fifty-seven million, four hundred seventy-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 10223 20446 40892 51115 81784 102230 132899 204460 255575 265798 408920 511150 531596 664495 1022300 1063192 1328990 2044600 2657980 3322475 5168333 5315960 6644950 10336666 13289900 20673332 25841665 26579800 41346664 51683330 67188329 103366660 129208325 134376658 206733320 258416650 268753316 335941645 516833300 537506632 671883290 1033666600 1343766580 1679708225 2687533160 3359416450 6718832900 13437665800 52835868259 105671736518 211343473036 264179341295 422686946072 528358682590 686866287367 1056717365180 1320896706475 1373732574734 2113434730360 2641793412950 2747465149468 3434331436835 5283586825900 5494930298936 6868662873670 10567173651800 13737325747340 17171657184175 27474651494680 34343314368350 68686628736700 137373257473400