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863668145430 = 233579157257903
BaseRepresentation
bin11001001000101101010…
…00100000110100010110
310001120021111222122022000
430210112220200310112
5103122243021123210
61500432541420130
7116253334052166
oct14442650406426
93046244878260
10863668145430
11303309174802
1211b47486a646
136359c6562cc
142db320665a6
15176ecab7ac0
hexc916a20d16

863668145430 has 128 divisors (see below), whose sum is σ = 2347132723200. Its totient is φ = 225946910592.

The previous prime is 863668145393. The next prime is 863668145443. The reversal of 863668145430 is 34541866368.

863668145430 is a `hidden beast` number, since 8 + 6 + 3 + 6 + 68 + 145 + 430 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3219859 + ... + 3477761.

It is an arithmetic number, because the mean of its divisors is an integer number (18336974400).

Almost surely, 2863668145430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 863668145430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1173566361600).

863668145430 is an abundant number, since it is smaller than the sum of its proper divisors (1483464577770).

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

863668145430 is a wasteful number, since it uses less digits than its factorization.

863668145430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258155 (or 258149 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 863668145430 in words is "eight hundred sixty-three billion, six hundred sixty-eight million, one hundred forty-five thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 79 90 135 157 158 237 270 314 395 471 474 711 785 790 942 1185 1413 1422 1570 2133 2355 2370 2826 3555 4239 4266 4710 7065 7110 8478 10665 12403 14130 21195 21330 24806 37209 42390 62015 74418 111627 124030 186045 223254 257903 334881 372090 515806 558135 669762 773709 1116270 1289515 1547418 1674405 2321127 2579030 3348810 3868545 4642254 6963381 7737090 11605635 13926762 20374337 23211270 34816905 40490771 40748674 61123011 69633810 80981542 101871685 121472313 122246022 183369033 202453855 203743370 242944626 305615055 364416939 366738066 404907710 550107099 607361565 611230110 728833878 916845165 1093250817 1100214198 1214723130 1822084695 1833690330 2186501634 2750535495 3198770909 3644169390 5466254085 5501070990 6397541818 9596312727 10932508170 15993854545 19192625454 28788938181 31987709090 47981563635 57577876362 86366814543 95963127270 143944690905 172733629086 287889381810 431834072715 863668145430