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61207688544 = 2535314980737
BaseRepresentation
bin111001000000010000…
…110011010101100000
312211222200001201222120
4321000100303111200
52000323132013134
644041325104240
74264532524362
oct710020632540
9184880051876
1061207688544
1123a5a165372
12ba423b8080
135a05a140b2
142d69024d32
1518d37ab649
hexe40433560

61207688544 has 96 divisors (see below), whose sum is σ = 164802405600. Its totient is φ = 19883016192.

The previous prime is 61207688519. The next prime is 61207688569. The reversal of 61207688544 is 44588670216.

It is an interprime number because it is at equal distance from previous prime (61207688519) and next prime (61207688569).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×612076885442 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 717744 + ... + 798480.

It is an arithmetic number, because the mean of its divisors is an integer number (1716691725).

Almost surely, 261207688544 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 61207688544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82401202800).

61207688544 is an abundant number, since it is smaller than the sum of its proper divisors (103594717056).

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

61207688544 is a wasteful number, since it uses less digits than its factorization.

61207688544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80952 (or 80944 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 51.

The spelling of 61207688544 in words is "sixty-one billion, two hundred seven million, six hundred eighty-eight thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 149 159 212 298 318 424 447 596 636 848 894 1192 1272 1696 1788 2384 2544 3576 4768 5088 7152 7897 14304 15794 23691 31588 47382 63176 80737 94764 126352 161474 189528 242211 252704 322948 379056 484422 645896 758112 968844 1291792 1937688 2583584 3875376 4279061 7750752 8558122 12029813 12837183 17116244 24059626 25674366 34232488 36089439 48119252 51348732 68464976 72178878 96238504 102697464 136929952 144357756 192477008 205394928 288715512 384954016 410789856 577431024 637580089 1154862048 1275160178 1912740267 2550320356 3825480534 5100640712 7650961068 10201281424 15301922136 20402562848 30603844272 61207688544