Search a number
-
+
29741046975234 = 2337433761486511
BaseRepresentation
bin1101100001100101000001…
…00010100100101100000010
310220022012211200220010021000
412300302200202210230002
512344234131011201414
6143130503125112430
76156501604114350
oct660624042445402
9126265750803230
1029741046975234
11952711a740891
123404020558716
13137975156978a
1474b68d8b07d0
15368975eb1b09
hex1b0ca08a4b02

29741046975234 has 128 divisors (see below), whose sum is σ = 77310104002560. Its totient is φ = 8297603193600.

The previous prime is 29741046975223. The next prime is 29741046975259. The reversal of 29741046975234 is 43257964014792.

29741046975234 is a `hidden beast` number, since 2 + 9 + 7 + 4 + 10 + 4 + 6 + 97 + 523 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60888039 + ... + 61374549.

It is an arithmetic number, because the mean of its divisors is an integer number (603985187520).

Almost surely, 229741046975234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29741046975234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38655052001280).

29741046975234 is an abundant number, since it is smaller than the sum of its proper divisors (47569057027326).

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

29741046975234 is a wasteful number, since it uses less digits than its factorization.

29741046975234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490333 (or 490327 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 29741046975234 in words is "twenty-nine trillion, seven hundred forty-one billion, forty-six million, nine hundred seventy-five thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 43 54 63 86 126 129 189 258 301 378 387 602 774 903 1161 1806 2322 2709 3761 5418 7522 8127 11283 16254 22566 26327 33849 52654 67698 78981 101547 157962 161723 203094 236943 323446 473886 485169 486511 710829 970338 973022 1132061 1421658 1455507 1459533 2264122 2911014 2919066 3396183 3405577 4366521 4378599 6792366 6811154 8733042 8757198 10188549 10216731 13135797 20377098 20433462 20919973 26271594 30565647 30650193 41839946 61131294 61300386 62759919 91950579 125519838 146439811 183901158 188279757 292879622 376559514 439319433 564839271 878638866 1129678542 1317958299 1829767871 2635916598 3659535742 3953874897 5489303613 7907749794 10978607226 12808375097 16467910839 25616750194 32935821678 38425125291 49403732517 76850250582 78680018453 98807465034 115275375873 157360036906 230550751746 236040055359 345826127619 472080110718 550760129171 691652255238 708120166077 1101520258342 1416240332154 1652280387513 2124360498231 3304560775026 4248720996462 4956841162539 9913682325078 14870523487617 29741046975234