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55170641430 = 2345197274931
BaseRepresentation
bin110011011000011011…
…010010111000010110
312021101221021222020000
4303120123102320112
51400442141011210
641202310152130
73662115500052
oct633033227026
9167357258200
1055170641430
1121441430533
12a838652646
135283076878
142955330c62
15167d7a6ac0
hexcd86d2e16

55170641430 has 160 divisors (see below), whose sum is σ = 156402005760. Its totient is φ = 13915851840.

The previous prime is 55170641423. The next prime is 55170641431. The reversal of 55170641430 is 3414607155.

55170641430 is a `hidden beast` number, since 5 + 5 + 1 + 7 + 0 + 641 + 4 + 3 + 0 = 666.

55170641430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55170641431) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11186065 + ... + 11190995.

It is an arithmetic number, because the mean of its divisors is an integer number (977512536).

Almost surely, 255170641430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55170641430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78201002880).

55170641430 is an abundant number, since it is smaller than the sum of its proper divisors (101231364330).

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

55170641430 is a wasteful number, since it uses less digits than its factorization.

55170641430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5696 (or 5687 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 55170641430 in words is "fifty-five billion, one hundred seventy million, six hundred forty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 81 90 95 114 135 162 171 190 270 285 342 405 513 570 727 810 855 1026 1454 1539 1710 2181 2565 3078 3635 4362 4931 5130 6543 7270 7695 9862 10905 13086 13813 14793 15390 19629 21810 24655 27626 29586 32715 39258 41439 44379 49310 58887 65430 69065 73965 82878 88758 93689 98145 117774 124317 133137 138130 147930 187378 196290 207195 221895 248634 266274 281067 294435 372951 399411 414390 443790 468445 562134 588870 621585 665685 745902 798822 843201 936890 1118853 1243170 1331370 1405335 1686402 1864755 1997055 2237706 2529603 2810670 3584837 3729510 3994110 4216005 5059206 5594265 7169674 7588809 8432010 10754511 11188530 12648015 15177618 17924185 21509022 25296030 32263533 35848370 37944045 53772555 64527066 68111903 75888090 96790599 107545110 136223806 161317665 193581198 204335709 290371797 322635330 340559515 408671418 483952995 580743594 613007127 681119030 967905990 1021678545 1226014254 1451858985 1839021381 2043357090 2903717970 3065035635 3678042762 5517064143 6130071270 9195106905 11034128286 18390213810 27585320715 55170641430