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61371452928 = 293318531511
BaseRepresentation
bin111001001010000001…
…100000111000000000
312212102002012211111010
4321022001200320000
52001142042443203
644105455120520
74301561512512
oct711201407000
9185362184433
1061371452928
1124033648a35
12ba89213140
135a309220b6
142d82a93bb2
1518e2d59303
hexe4a060e00

61371452928 has 160 divisors (see below), whose sum is σ = 169081178112. Its totient is φ = 19760947200.

The previous prime is 61371452917. The next prime is 61371452953. The reversal of 61371452928 is 82925417316.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40615693 + ... + 40617203.

Almost surely, 261371452928 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 61371452928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84540589056).

61371452928 is an abundant number, since it is smaller than the sum of its proper divisors (107709725184).

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

61371452928 is a wasteful number, since it uses less digits than its factorization.

61371452928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2416 (or 2400 counting only the distinct ones).

The product of its digits is 725760, while the sum is 48.

The spelling of 61371452928 in words is "sixty-one billion, three hundred seventy-one million, four hundred fifty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 512 744 768 853 992 1488 1511 1536 1706 1984 2559 2976 3022 3412 3968 4533 5118 5952 6044 6824 7936 9066 10236 11904 12088 13648 15872 18132 20472 23808 24176 26443 27296 36264 40944 46841 47616 48352 52886 54592 72528 79329 81888 93682 96704 105772 109184 140523 145056 158658 163776 187364 193408 211544 218368 281046 290112 317316 327552 374728 386816 423088 436736 562092 580224 634632 655104 749456 773632 846176 1124184 1160448 1269264 1288883 1310208 1498912 1692352 2248368 2320896 2538528 2577766 2997824 3384704 3866649 4496736 5077056 5155532 5995648 6769408 7733298 8993472 10154112 10311064 11991296 13538816 15466596 17986944 20308224 20622128 23982592 30933192 35973888 39955373 40616448 41244256 61866384 71947776 79910746 82488512 119866119 123732768 159821492 164977024 239732238 247465536 319642984 329954048 479464476 494931072 639285968 659908096 958928952 989862144 1278571936 1917857904 1979724288 2557143872 3835715808 5114287744 7671431616 10228575488 15342863232 20457150976 30685726464 61371452928