Search a number
-
+
60021321408 = 263424374751
BaseRepresentation
bin110111111001100011…
…001010111011000000
312201220222201001020000
4313321203022323000
51440410424241113
643323505120000
74223245546146
oct677143127300
9181828631200
1060021321408
1123500520164
12b771029000
135876cb3bc9
142c95643596
151864565373
hexdf98caec0

60021321408 has 140 divisors (see below), whose sum is σ = 178032472992. Its totient is φ = 19994688000.

The previous prime is 60021321407. The next prime is 60021321421. The reversal of 60021321408 is 80412312006.

60021321408 is a `hidden beast` number, since 600 + 2 + 13 + 2 + 1 + 40 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (60021321401) 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 19 ways as a sum of consecutive naturals, for example, 12631033 + ... + 12635783.

Almost surely, 260021321408 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 60021321408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89016236496).

60021321408 is an abundant number, since it is smaller than the sum of its proper divisors (118011151584).

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

60021321408 is a wasteful number, since it uses less digits than its factorization.

60021321408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7212 (or 7193 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 60021321408 in words is "sixty billion, twenty-one million, three hundred twenty-one thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2437 2592 4751 4874 5184 7311 9502 9748 14253 14622 19004 19496 21933 28506 29244 38008 38992 42759 43866 57012 58488 65799 76016 77984 85518 87732 114024 116976 128277 131598 152032 155968 171036 175464 197397 228048 233952 256554 263196 304064 342072 350928 384831 394794 456096 467904 513108 526392 684144 701856 769662 789588 912192 1026216 1052784 1368288 1403712 1539324 1579176 2052432 2105568 2736576 3078648 3158352 4104864 4211136 6157296 6316704 8209728 11578187 12314592 12633408 23156374 24629184 34734561 46312748 69469122 92625496 104203683 138938244 185250992 208407366 277876488 312611049 370501984 416814732 555752976 625222098 741003968 833629464 937833147 1111505952 1250444196 1667258928 1875666294 2223011904 2500888392 3334517856 3751332588 5001776784 6669035712 7502665176 10003553568 15005330352 20007107136 30010660704 60021321408