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61452115074 = 23371917349459
BaseRepresentation
bin111001001110110101…
…001101110010000010
312212121200222220011000
4321032311031302002
52001323220140244
644121500032430
74303561234230
oct711665156202
9185550886130
1061452115074
1124075131669
12bab0232716
135a4455498c
142d8d68d950
1518e9e8e169
hexe4ed4dc82

61452115074 has 128 divisors (see below), whose sum is σ = 165235968000. Its totient is φ = 16537172544.

The previous prime is 61452115073. The next prime is 61452115177. The reversal of 61452115074 is 47051125416.

61452115074 is a `hidden beast` number, since 6 + 14 + 521 + 1 + 50 + 74 = 666.

61452115074 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (61452115073) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1217757 + ... + 1267215.

It is an arithmetic number, because the mean of its divisors is an integer number (1290906000).

Almost surely, 261452115074 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61452115074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82617984000).

61452115074 is an abundant number, since it is smaller than the sum of its proper divisors (103783852926).

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

61452115074 is a wasteful number, since it uses less digits than its factorization.

61452115074 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49669 (or 49663 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 61452115074 in words is "sixty-one billion, four hundred fifty-two million, one hundred fifteen thousand, seventy-four".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 63 114 126 133 171 173 189 266 342 346 378 399 513 519 798 1026 1038 1197 1211 1557 2394 2422 3114 3287 3591 3633 4671 6574 7182 7266 9342 9861 10899 19722 21798 23009 29583 32697 46018 49459 59166 65394 69027 88749 98918 138054 148377 177498 207081 296754 346213 414162 445131 621243 692426 890262 939721 1038639 1242486 1335393 1879442 2077278 2670786 2819163 3115917 5638326 6231834 6578047 8457489 8556407 9347751 13156094 16914978 17112814 18695502 19734141 25372467 25669221 39468282 50744934 51338442 59202423 59894849 77007663 118404846 119789698 154015326 162571733 177607269 179684547 231022989 325143466 355214538 359369094 462045978 487715199 539053641 975430398 1078107282 1138002131 1463145597 1617160923 2276004262 2926291194 3234321846 3414006393 4389436791 6828012786 8778873582 10242019179 20484038358 30726057537 61452115074