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61020501768 = 233810311287
BaseRepresentation
bin111000110101000110…
…101111011100001000
312211111121211200000000
4320311012233130020
51444432222024033
644011001043000
74260100464342
oct706506573410
9184447750000
1061020501768
1123973534156
12b9ab786460
1359a5cc4ca5
142d4c21a292
1518c2133a13
hexe351af708

61020501768 has 144 divisors (see below), whose sum is σ = 173292924480. Its totient is φ = 20140905312.

The previous prime is 61020501749. The next prime is 61020501769. The reversal of 61020501768 is 86710502016.

61020501768 is a `hidden beast` number, since 61 + 0 + 20 + 501 + 76 + 8 = 666.

61020501768 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 2×610205017682 (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (61020501769) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5400621 + ... + 5411907.

Almost surely, 261020501768 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 61020501768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86646462240).

61020501768 is an abundant number, since it is smaller than the sum of its proper divisors (112272422712).

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

61020501768 is a wasteful number, since it uses less digits than its factorization.

61020501768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11420 (or 11395 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 61020501768 in words is "sixty-one billion, twenty million, five hundred one thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 103 108 162 206 216 243 309 324 412 486 618 648 729 824 927 972 1236 1458 1854 1944 2187 2472 2781 2916 3708 4374 5562 5832 6561 7416 8343 8748 11124 11287 13122 16686 17496 22248 22574 25029 26244 33372 33861 45148 50058 52488 66744 67722 75087 90296 100116 101583 135444 150174 200232 203166 225261 270888 300348 304749 406332 450522 600696 609498 675783 812664 901044 914247 1162561 1218996 1351566 1802088 1828494 2325122 2437992 2703132 2742741 3487683 3656988 4650244 5406264 5485482 6975366 7313976 8228223 9300488 10463049 10970964 13950732 16456446 20926098 21941928 24684669 27901464 31389147 32912892 41852196 49369338 62778294 65825784 74054007 83704392 94167441 98738676 125556588 148108014 188334882 197477352 251113176 282502323 296216028 376669764 565004646 592432056 753339528 847506969 1130009292 1695013938 2260018584 2542520907 3390027876 5085041814 6780055752 7627562721 10170083628 15255125442 20340167256 30510250884 61020501768