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61042632352 = 2513230736767
BaseRepresentation
bin111000110110011011…
…001010011010100000
312211120011111000110021
4320312123022122200
52000003403213402
644013111243224
74260456546112
oct706633123240
9184504430407
1061042632352
1123984a7a199
12b9b7079514
1359aa773100
142d5113b3b2
1518c4055d37
hexe366ca6a0

61042632352 has 72 divisors (see below), whose sum is σ = 130560667776. Its totient is φ = 28080988416.

The previous prime is 61042632347. The next prime is 61042632403. The reversal of 61042632352 is 25323624016.

It is a super-2 number, since 2×610426323522 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1641873 + ... + 1678639.

It is an arithmetic number, because the mean of its divisors is an integer number (1813342608).

Almost surely, 261042632352 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 61042632352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65280333888).

61042632352 is an abundant number, since it is smaller than the sum of its proper divisors (69518035424).

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

61042632352 is a wasteful number, since it uses less digits than its factorization.

61042632352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37110 (or 37089 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 34.

The spelling of 61042632352 in words is "sixty-one billion, forty-two million, six hundred thirty-two thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 169 208 307 338 416 614 676 1228 1352 2456 2704 3991 4912 5408 7982 9824 15964 31928 36767 51883 63856 73534 103766 127712 147068 207532 294136 415064 477971 588272 830128 955942 1176544 1660256 1911884 3823768 6213623 7647536 11287469 12427246 15295072 22574938 24854492 45149876 49708984 90299752 99417968 146737097 180599504 198835936 293474194 361199008 586948388 1173896776 1907582261 2347793552 3815164522 4695587104 7630329044 15260658088 30521316176 61042632352