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201152663316 = 2232113725753419
BaseRepresentation
bin1011101101010110100…
…0100000111100010100
3201020012200020001022100
42323111220200330110
511243430040211231
6232224103402100
720350515266313
oct2732550407424
9636180201270
10201152663316
1178343486210
1232b99753330
1315c7907b587
149a4320c27a
15537475e1e6
hex2ed5a20f14

201152663316 has 144 divisors (see below), whose sum is σ = 571912810560. Its totient is φ = 59076034560.

The previous prime is 201152663311. The next prime is 201152663381. The reversal of 201152663316 is 613366251102.

201152663316 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 5 + 2 + 6 + 633 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201152663311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3738855 + ... + 3792273.

It is an arithmetic number, because the mean of its divisors is an integer number (3971616740).

Almost surely, 2201152663316 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 201152663316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285956405280).

201152663316 is an abundant number, since it is smaller than the sum of its proper divisors (370760147244).

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

201152663316 is a wasteful number, since it uses less digits than its factorization.

201152663316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53734 (or 53729 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

It can be divided in two parts, 201152 and 663316, that added together give a palindrome (864468).

The spelling of 201152663316 in words is "two hundred one billion, one hundred fifty-two million, six hundred sixty-three thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 37 44 66 74 99 111 132 148 198 222 257 333 396 407 444 514 666 771 814 1028 1221 1332 1542 1628 2313 2442 2827 3084 3663 4626 4884 5654 7326 8481 9252 9509 11308 14652 16962 19018 25443 28527 33924 38036 50886 53419 57054 85581 101772 104599 106838 114108 160257 171162 209198 213676 313797 320514 342324 418396 480771 587609 627594 641028 941391 961542 1175218 1255188 1762827 1882782 1923084 1976503 2350436 3525654 3765564 3953006 5288481 5929509 7051308 7906012 10576962 11859018 13728683 17788527 21153924 21741533 23718036 27457366 35577054 41186049 43483066 54914732 65224599 71154108 82372098 86966132 123558147 130449198 151015513 164744196 195673797 247116294 260898396 302031026 391347594 453046539 494232588 507961271 604062052 782695188 906093078 1015922542 1359139617 1523883813 1812186156 2031845084 2718279234 3047767626 4571651439 5436558468 5587573981 6095535252 9143302878 11175147962 16762721943 18286605756 22350295924 33525443886 50288165829 67050887772 100576331658 201152663316