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153640006466331 = 37115983135819533
BaseRepresentation
bin100010111011110000011010…
…000000100011101100011011
3202010222211201012211012000010
4202323300122000203230123
5130114214213123410311
61302433124455213003
744235060405210540
oct4273603200435433
9663884635735003
10153640006466331
1144a553a7299850
1215294567377163
136796262530ba8
1429d2304968bc7
1512b67e0d53da6
hex8bbc1a023b1b

153640006466331 has 64 divisors (see below), whose sum is σ = 262859693322240. Its totient is φ = 77514923303040.

The previous prime is 153640006466329. The next prime is 153640006466339. The reversal of 153640006466331 is 133664600046351.

It is a happy number.

It is not a de Polignac number, because 153640006466331 - 21 = 153640006466329 is a prime.

It is a super-2 number, since 2×1536400064663312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (153640006466339) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66778560 + ... + 69040973.

It is an arithmetic number, because the mean of its divisors is an integer number (4107182708160).

Almost surely, 2153640006466331 is an apocalyptic number.

153640006466331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

153640006466331 is a deficient number, since it is larger than the sum of its proper divisors (109219686855909).

153640006466331 is a wasteful number, since it uses less digits than its factorization.

153640006466331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135819696.

The product of its (nonzero) digits is 2799360, while the sum is 48.

The spelling of 153640006466331 in words is "one hundred fifty-three trillion, six hundred forty billion, six million, four hundred sixty-six thousand, three hundred thirty-one".

Divisors: 1 3 7 11 21 33 59 77 83 177 231 249 413 581 649 913 1239 1743 1947 2739 4543 4897 6391 13629 14691 19173 34279 53867 102837 161601 377069 1131207 135819533 407458599 950736731 1494014863 2852210193 4482044589 8013352447 10458104041 11273021239 24040057341 31374312123 33819063717 56093467129 78911148673 88146876917 124003233629 168280401387 236733446019 264440630751 372009700887 617028138419 665108253101 868022635403 1851084415257 1995324759303 2604067906209 4655757771707 7316190784111 13967273315121 21948572352333 51213335488777 153640006466331