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61513346650374 = 2331923583880687
BaseRepresentation
bin11011111110010001100010…
…01011010001000100000110
322001210121200220002202002000
431333020301023101010012
531030313313220302444
6334454501421130130
715646123034265213
oct1577106113210406
9261717626082060
1061513346650374
1118666733597463
126a958473b9946
1328428b7119148
1411293947a6b0a
1571a183a25469
hex37f2312d1106

61513346650374 has 96 divisors (see below), whose sum is σ = 144309958410240. Its totient is φ = 19419823803312.

The previous prime is 61513346650313. The next prime is 61513346650411. The reversal of 61513346650374 is 47305664331516.

61513346650374 is a `hidden beast` number, since 6 + 1 + 5 + 1 + 3 + 3 + 4 + 66 + 503 + 74 = 666.

It is a super-2 number, since 2×615133466503742 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 61513346650374.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69406659 + ... + 70287345.

It is an arithmetic number, because the mean of its divisors is an integer number (1503228733440).

Almost surely, 261513346650374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61513346650374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72154979205120).

61513346650374 is an abundant number, since it is smaller than the sum of its proper divisors (82796611759866).

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

61513346650374 is a wasteful number, since it uses less digits than its factorization.

61513346650374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884319 (or 884294 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 54.

The spelling of 61513346650374 in words is "sixty-one trillion, five hundred thirteen billion, three hundred forty-six million, six hundred fifty thousand, three hundred seventy-four".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 361 513 722 1026 1083 2166 3249 3583 6498 7166 9747 10749 19494 21498 32247 64494 68077 96741 136154 193482 204231 408462 612693 880687 1225386 1293463 1761374 1838079 2586926 2642061 3676158 3880389 5284122 7760778 7926183 11641167 15852366 16733053 23282334 23778549 33466106 34923501 47557098 50199159 69847002 100398318 150597477 301194954 317928007 451792431 635856014 903584862 953784021 1907568042 2861352063 3155501521 5722704126 6311003042 8584056189 9466504563 17168112378 18933009126 28399513689 56799027378 59954528899 85198541067 119909057798 170397082134 179863586697 359727173394 539590760091 1079181520182 1139136049081 1618772280273 2278272098162 3237544560546 3417408147243 6834816294486 10252224441729 20504448883458 30756673325187 61513346650374