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61156507216 = 2472773100913
BaseRepresentation
bin111000111101001101…
…100011111001010000
312211212002202110101211
4320331031203321100
52000222031212331
644032300105504
74263341506600
oct707515437120
9184762673354
1061156507216
1123a33288052
12ba29235294
1359c823409c
142d62300c00
1518ce04b8b1
hexe3d363e50

61156507216 has 60 divisors (see below), whose sum is σ = 138015839412. Its totient is φ = 26175765504.

The previous prime is 61156507211. The next prime is 61156507253. The reversal of 61156507216 is 61270565116.

It can be written as a sum of positive squares in 2 ways, for example, as 1569744400 + 59586762816 = 39620^2 + 244104^2 .

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61156507211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 555576 + ... + 656488.

Almost surely, 261156507216 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 61156507216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69007919706).

61156507216 is an abundant number, since it is smaller than the sum of its proper divisors (76859332196).

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

61156507216 is a wasteful number, since it uses less digits than its factorization.

61156507216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101708 (or 101695 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 40.

The spelling of 61156507216 in words is "sixty-one billion, one hundred fifty-six million, five hundred seven thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 773 784 1546 3092 5411 6184 10822 12368 21644 37877 43288 75754 86576 100913 151508 201826 303016 403652 606032 706391 807304 1412782 1614608 2825564 4944737 5651128 9889474 11302256 19778948 39557896 78005749 79115792 156011498 312022996 546040243 624045992 1092080486 1248091984 2184160972 3822281701 4368321944 7644563402 8736643888 15289126804 30578253608 61156507216