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427564145148 = 223729392344741
BaseRepresentation
bin1100011100011001100…
…11110001100111111100
31111212121200101000200120
412032030303301213330
524001122410121043
6524230435254540
742614303161140
oct6161463614774
91455550330616
10427564145148
111553688a4648
126aa4644a450
133141c1728ba
14169a0cd7220
15b1c6767983
hex638ccf19fc

427564145148 has 96 divisors (see below), whose sum is σ = 1179814325760. Its totient is φ = 117916028160.

The previous prime is 427564145101. The next prime is 427564145167. The reversal of 427564145148 is 841541465724.

It is a super-2 number, since 2×4275641451482 (a number of 24 digits) contains 22 as substring.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 427564145148.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9534058 + ... + 9578798.

It is an arithmetic number, because the mean of its divisors is an integer number (12289732560).

Almost surely, 2427564145148 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427564145148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589907162880).

427564145148 is an abundant number, since it is smaller than the sum of its proper divisors (752250180612).

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

427564145148 is a wasteful number, since it uses less digits than its factorization.

427564145148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48707 (or 48705 counting only the distinct ones).

The product of its digits is 4300800, while the sum is 51.

The spelling of 427564145148 in words is "four hundred twenty-seven billion, five hundred sixty-four million, one hundred forty-five thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 116 174 203 348 406 609 812 1218 2436 3923 7846 11769 15692 23538 27461 44741 47076 54922 82383 89482 109844 113767 134223 164766 178964 227534 268446 313187 329532 341301 455068 536892 626374 682602 796369 939561 1252748 1297489 1365204 1592738 1879122 2389107 2594978 3185476 3758244 3892467 4778214 5189956 7784934 9082423 9556428 15569868 18164846 27247269 36329692 54494538 108989076 175518943 351037886 526556829 702075772 1053113658 1228632601 2106227316 2457265202 3685897803 4914530404 5090049347 7371795606 10180098694 14743591212 15270148041 20360197388 30540296082 35630345429 61080592164 71260690858 106891036287 142521381716 213782072574 427564145148