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61316357840 = 2456770116319
BaseRepresentation
bin111001000110101111…
…010101111011010000
312212021020112201020022
4321012233111323100
52001033441422330
644100210203012
74300322304443
oct710657257320
9185236481208
1061316357840
1124005538201
12ba72883468
135a223a185a
142d7963165a
1518dd0c4ae5
hexe46bd5ed0

61316357840 has 80 divisors (see below), whose sum is σ = 144903582720. Its totient is φ = 24124531200.

The previous prime is 61316357827. The next prime is 61316357867. The reversal of 61316357840 is 4875361316.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 61316357791 and 61316357800.

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, 3749201 + ... + 3765519.

It is an arithmetic number, because the mean of its divisors is an integer number (1811294784).

Almost surely, 261316357840 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 61316357840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72451791360).

61316357840 is an abundant number, since it is smaller than the sum of its proper divisors (83587224880).

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

61316357840 is a wasteful number, since it uses less digits than its factorization.

61316357840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17100 (or 17094 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 44.

The spelling of 61316357840 in words is "sixty-one billion, three hundred sixteen million, three hundred fifty-seven thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 268 335 536 670 701 1072 1340 1402 2680 2804 3505 5360 5608 7010 11216 14020 16319 28040 32638 46967 56080 65276 81595 93934 130552 163190 187868 234835 261104 326380 375736 469670 652760 751472 939340 1093373 1305520 1878680 2186746 3757360 4373492 5466865 8746984 10933730 11439619 17493968 21867460 22879238 43734920 45758476 57198095 87469840 91516952 114396190 183033904 228792380 457584760 766454473 915169520 1532908946 3065817892 3832272365 6131635784 7664544730 12263271568 15329089460 30658178920 61316357840