Search a number
-
+
41752929096 = 23321997314651
BaseRepresentation
bin100110111000101010…
…110010001101001000
310222202211111120011100
4212320222302031020
51141002222212341
631103034101400
73005451020154
oct467052621510
9128684446140
1041752929096
111678649267a
128112b7a860
133c252a1508
142041310064
1511458433b6
hex9b8ab2348

41752929096 has 96 divisors (see below), whose sum is σ = 120259994400. Its totient is φ = 13049164800.

The previous prime is 41752929061. The next prime is 41752929107. The reversal of 41752929096 is 69092925714.

41752929096 is a `hidden beast` number, since 4 + 1 + 7 + 529 + 29 + 0 + 96 = 666.

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, 24630 + ... + 290021.

It is an arithmetic number, because the mean of its divisors is an integer number (1252708275).

Almost surely, 241752929096 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 41752929096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60129997200).

41752929096 is an abundant number, since it is smaller than the sum of its proper divisors (78507065304).

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

41752929096 is a wasteful number, since it uses less digits than its factorization.

41752929096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314779 (or 314772 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 41752929096 in words is "forty-one billion, seven hundred fifty-two million, nine hundred twenty-nine thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 97 114 152 171 194 228 291 342 388 456 582 684 776 873 1164 1368 1746 1843 2328 3492 3686 5529 6984 7372 11058 14744 16587 22116 33174 44232 66348 132696 314651 629302 943953 1258604 1887906 2517208 2831859 3775812 5663718 5978369 7551624 11327436 11956738 17935107 22654872 23913476 30521147 35870214 47826952 53805321 61042294 71740428 91563441 107610642 122084588 143480856 183126882 215221284 244169176 274690323 366253764 430442568 549380646 579901793 732507528 1098761292 1159803586 1739705379 2197522584 2319607172 3479410758 4639214344 5219116137 6958821516 10438232274 13917643032 20876464548 41752929096