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157405665705 = 35137346722093
BaseRepresentation
bin1001001010011000011…
…0111101100110101001
3120001021212112022101120
42102212012331212221
510034331322300310
6200151113405453
714241442040241
oct2224606754651
9501255468346
10157405665705
1160834438432
122660aa09889
1311ac692b782
147893148b21
154163d2ab70
hex24a61bd9a9

157405665705 has 32 divisors (see below), whose sum is σ = 253772037504. Its totient is φ = 83309108736.

The previous prime is 157405665691. The next prime is 157405665727. The reversal of 157405665705 is 507566504751.

157405665705 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 157405665705 - 27 = 157405665577 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7113639 + ... + 7135731.

It is an arithmetic number, because the mean of its divisors is an integer number (7930376172).

Almost surely, 2157405665705 is an apocalyptic number.

157405665705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

157405665705 is a deficient number, since it is larger than the sum of its proper divisors (96366371799).

157405665705 is a wasteful number, since it uses less digits than its factorization.

157405665705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25705.

The product of its (nonzero) digits is 4410000, while the sum is 51.

The spelling of 157405665705 in words is "one hundred fifty-seven billion, four hundred five million, six hundred sixty-five thousand, seven hundred five".

Divisors: 1 3 5 15 137 411 685 2055 3467 10401 17335 22093 52005 66279 110465 331395 474979 1424937 2374895 3026741 7124685 9080223 15133705 45401115 76596431 229789293 382982155 1148946465 10493711047 31481133141 52468555235 157405665705