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1357557645700 = 2252172109430957
BaseRepresentation
bin10011110000010100101…
…111011100000110000100
311210210002112012210201201
4103300110233130012010
5134220234224130300
62515353043432244
7200036354410534
oct23602457340604
94723075183651
101357557645700
11483811999323
1219b12b385684
139b02b859669
14499c59154c4
15254a703766a
hex13c14bdc184

1357557645700 has 108 divisors (see below), whose sum is σ = 3158099010220. Its totient is φ = 506390538240.

The previous prime is 1357557645673. The next prime is 1357557645707. The reversal of 1357557645700 is 75467557531.

It can be written as a sum of positive squares in 18 ways, for example, as 653109655104 + 704447990596 = 808152^2 + 839314^2 .

It is a super-2 number, since 2×13575576457002 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1357557645707) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2934622 + ... + 3365578.

Almost surely, 21357557645700 is an apocalyptic number.

1357557645700 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 1357557645700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1579049505110).

1357557645700 is an abundant number, since it is smaller than the sum of its proper divisors (1800541364520).

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

1357557645700 is a wasteful number, since it uses less digits than its factorization.

1357557645700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431114 (or 431090 counting only the distinct ones).

The product of its (nonzero) digits is 15435000, while the sum is 55.

The spelling of 1357557645700 in words is "one trillion, three hundred fifty-seven billion, five hundred fifty-seven million, six hundred forty-five thousand, seven hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 109 170 218 289 340 425 436 545 578 850 1090 1156 1445 1700 1853 2180 2725 2890 3706 5450 5780 7225 7412 9265 10900 14450 18530 28900 31501 37060 46325 63002 92650 126004 157505 185300 315010 430957 630020 787525 861914 1575050 1723828 2154785 3150100 4309570 7326269 8619140 10773925 14652538 21547850 29305076 36631345 43095700 46974313 73262690 93948626 124546573 146525380 183156725 187897252 234871565 249093146 366313450 469743130 498186292 622732865 732626900 798563321 939486260 1174357825 1245465730 1597126642 2348715650 2490931460 3113664325 3194253284 3992816605 4697431300 6227328650 7985633210 12454657300 13575576457 15971266420 19964083025 27151152914 39928166050 54302305828 67877882285 79856332100 135755764570 271511529140 339389411425 678778822850 1357557645700