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541730461147164 = 223222991172131821
BaseRepresentation
bin111101100101100110111001…
…1101100110110000000011100
32122001002221000021110002022200
41323023031303230312000130
51032001202441023202124
65200055312130011500
7222051506561210262
oct17313156354660034
92561087007402280
10541730461147164
11147680664485113
1250912bab416b90
131a337c6a459743
1497abc73a4c432
1542969bc2a3bc9
hex1ecb373b3601c

541730461147164 has 72 divisors (see below), whose sum is σ = 1376863759427520. Its totient is φ = 179590920163200.

The previous prime is 541730461147153. The next prime is 541730461147189. The reversal of 541730461147164 is 461741164037145.

541730461147164 is a `hidden beast` number, since 5 + 4 + 1 + 7 + 3 + 0 + 4 + 611 + 4 + 7 + 16 + 4 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 541730461147164.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28555627 + ... + 43576194.

Almost surely, 2541730461147164 is an apocalyptic number.

It is an amenable number.

541730461147164 is an abundant number, since it is smaller than the sum of its proper divisors (835133298280356).

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

541730461147164 is a wasteful number, since it uses less digits than its factorization.

541730461147164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72132971 (or 72132966 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 541730461147164 in words is "five hundred forty-one trillion, seven hundred thirty billion, four hundred sixty-one million, one hundred forty-seven thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 229 458 687 911 916 1374 1822 2061 2733 2748 3644 4122 5466 8199 8244 10932 16398 32796 208619 417238 625857 834476 1251714 1877571 2503428 3755142 7510284 72131821 144263642 216395463 288527284 432790926 649186389 865581852 1298372778 2596745556 16518187009 33036374018 49554561027 65712088931 66072748036 99109122054 131424177862 148663683081 197136266793 198218244108 262848355724 297327366162 394272533586 591408800379 594654732324 788545067172 1182817600758 2365635201516 15048068365199 30096136730398 45144205095597 60192273460796 90288410191194 135432615286791 180576820382388 270865230573582 541730461147164