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66051012832 = 2571743939511
BaseRepresentation
bin111101100000111100…
…100111100011100000
320022111012122002212121
4331200330213203200
52040233024402312
650202102234024
74525543226350
oct754074474340
9208435562777
1066051012832
1126015090612
1210974425914
1362c827735c
1432a8380b60
151ab8ab5707
hexf60f278e0

66051012832 has 96 divisors (see below), whose sum is σ = 157719260160. Its totient is φ = 26581063680.

The previous prime is 66051012827. The next prime is 66051012893. The reversal of 66051012832 is 23821015066.

66051012832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×660510128322 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1651957 + ... + 1691467.

It is an arithmetic number, because the mean of its divisors is an integer number (1642908960).

Almost surely, 266051012832 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 66051012832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78859630080).

66051012832 is an abundant number, since it is smaller than the sum of its proper divisors (91668247328).

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

66051012832 is a wasteful number, since it uses less digits than its factorization.

66051012832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39984 (or 39976 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

Adding to 66051012832 its reverse (23821015066), we get a palindrome (89872027898).

The spelling of 66051012832 in words is "sixty-six billion, fifty-one million, twelve thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 224 238 272 439 476 544 878 952 1756 1904 3073 3512 3808 6146 7024 7463 12292 14048 14926 24584 29852 39511 49168 52241 59704 79022 98336 104482 119408 158044 208964 238816 276577 316088 417928 553154 632176 671687 835856 1106308 1264352 1343374 1671712 2212616 2686748 4425232 4701809 5373496 8850464 9403618 10746992 17345329 18807236 21493984 34690658 37614472 69381316 75228944 121417303 138762632 150457888 242834606 277525264 294870593 485669212 555050528 589741186 971338424 1179482372 1942676848 2064094151 2358964744 3885353696 4128188302 4717929488 8256376604 9435858976 16512753208 33025506416 66051012832