Search a number
-
+
32440780746 = 2341123744729
BaseRepresentation
bin11110001101100111…
…110000011111001010
310002201212001102010000
4132031213300133022
51012414314440441
622523022303430
72225625041463
oct361547603712
9102655042100
1032440780746
1112837a7a800
126354427b76
13309cc5ba6a
1417da681d6a
15c9d0582b6
hex78d9f07ca

32440780746 has 120 divisors (see below), whose sum is σ = 82061747460. Its totient is φ = 9564635520.

The previous prime is 32440780741. The next prime is 32440780781. The reversal of 32440780746 is 64708704423.

It can be written as a sum of positive squares in 2 ways, for example, as 28158518025 + 4282262721 = 167805^2 + 65439^2 .

It is not an unprimeable number, because it can be changed into a prime (32440780741) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 702910 + ... + 747638.

Almost surely, 232440780746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32440780746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41030873730).

32440780746 is an abundant number, since it is smaller than the sum of its proper divisors (49620966714).

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

32440780746 is a wasteful number, since it uses less digits than its factorization.

32440780746 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44802 (or 44782 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 32440780746 in words is "thirty-two billion, four hundred forty million, seven hundred eighty thousand, seven hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 37 54 66 74 81 99 111 121 162 198 222 242 297 333 363 407 594 666 726 814 891 999 1089 1221 1782 1998 2178 2442 2997 3267 3663 4477 5994 6534 7326 8954 9801 10989 13431 19602 21978 26862 32967 40293 44729 65934 80586 89458 120879 134187 241758 268374 362637 402561 492019 725274 805122 984038 1207683 1476057 1654973 2415366 2952114 3309946 3623049 4428171 4964919 5412209 7246098 8856342 9929838 10824418 13284513 14894757 16236627 18204703 26569026 29789514 32473254 36409406 39853539 44684271 48709881 54614109 79707078 89368542 97419762 109228218 134052813 146129643 163842327 200251733 268105626 292259286 327684654 400503466 438388929 491526981 600755199 876777858 983053962 1201510398 1474580943 1802265597 2949161886 3604531194 5406796791 10813593582 16220390373 32440780746