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61397711088 = 2437217107113127
BaseRepresentation
bin111001001011100101…
…101011100011110000
312212110220121212220120
4321023211223203300
52001220303223323
644112234010240
74302330635100
oct711345534360
9185426555816
1061397711088
112404745309a
12ba95b76980
135a361b6b7c
142d8636b200
1518e52e45e3
hexe4b96b8f0

61397711088 has 480 divisors, whose sum is σ = 200496881664. Its totient is φ = 16083615744.

The previous prime is 61397711083. The next prime is 61397711119. The reversal of 61397711088 is 88011779316.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 61397711088.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61397711083) 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 95 ways as a sum of consecutive naturals, for example, 483446481 + ... + 483446607.

Almost surely, 261397711088 is an apocalyptic number.

61397711088 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61397711088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100248440832).

61397711088 is an abundant number, since it is smaller than the sum of its proper divisors (139099170576).

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

61397711088 is a wasteful number, since it uses less digits than its factorization.

61397711088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 51.

The spelling of 61397711088 in words is "sixty-one billion, three hundred ninety-seven million, seven hundred eleven thousand, eighty-eight".