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149221764468 = 22327347925229
BaseRepresentation
bin1000101011111001001…
…1110110110101110100
3112021011112002001102100
42022332103312311310
54421101232430333
6152315044142100
713531566033000
oct2127623666564
9467145061370
10149221764468
1158314883297
1224b06097930
13110c1279b6a
14731828d700
153d35606213
hex22be4f6d74

149221764468 has 144 divisors (see below), whose sum is σ = 440818560000. Its totient is φ = 42544095552.

The previous prime is 149221764319. The next prime is 149221764493. The reversal of 149221764468 is 864467122941.

149221764468 is a `hidden beast` number, since 1 + 4 + 9 + 2 + 2 + 176 + 4 + 468 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5902078 + ... + 5927306.

It is an arithmetic number, because the mean of its divisors is an integer number (3061240000).

Almost surely, 2149221764468 is an apocalyptic number.

149221764468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149221764468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220409280000).

149221764468 is an abundant number, since it is smaller than the sum of its proper divisors (291596795532).

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

149221764468 is a wasteful number, since it uses less digits than its factorization.

149221764468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25739 (or 25720 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 149221764468 in words is "one hundred forty-nine billion, two hundred twenty-one million, seven hundred sixty-four thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 343 441 479 588 686 882 958 1029 1372 1437 1764 1916 2058 2874 3087 3353 4116 4311 5748 6174 6706 8622 10059 12348 13412 17244 20118 23471 25229 30177 40236 46942 50458 60354 70413 75687 93884 100916 120708 140826 151374 164297 176603 211239 227061 281652 302748 328594 353206 422478 454122 492891 529809 657188 706412 844956 908244 985782 1059618 1236221 1478673 1589427 1971564 2119236 2472442 2957346 3178854 3708663 4944884 5914692 6357708 7417326 8653547 11125989 12084691 14834652 17307094 22251978 24169382 25960641 34614188 36254073 44503956 48338764 51921282 72508146 77881923 84592837 103842564 108762219 145016292 155763846 169185674 217524438 253778511 311527692 338371348 435048876 507557022 592149859 761335533 1015114044 1184299718 1522671066 1776449577 2368599436 3045342132 3552899154 4145049013 5329348731 7105798308 8290098026 10658697462 12435147039 16580196052 21317394924 24870294078 37305441117 49740588156 74610882234 149221764468