Search a number
-
+
60664481460 = 223251137828071
BaseRepresentation
bin111000011111111000…
…101000011010110100
312210120210220221221200
4320133320220122310
51443220101401320
643511402212500
74245215404302
oct703770503264
9183523827850
1060664481460
11238005778a0
12b9104b4130
13594a31179b
142d16c23272
1518a0c5b290
hexe1fe286b4

60664481460 has 144 divisors (see below), whose sum is σ = 206170054272. Its totient is φ = 14309049600.

The previous prime is 60664481429. The next prime is 60664481477. The reversal of 60664481460 is 6418446606.

60664481460 is a `hidden beast` number, since 6 + 0 + 66 + 448 + 146 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 340776 + ... + 487295.

It is an arithmetic number, because the mean of its divisors is an integer number (1431736488).

Almost surely, 260664481460 is an apocalyptic number.

60664481460 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

60664481460 is an abundant number, since it is smaller than the sum of its proper divisors (145505572812).

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

60664481460 is a wasteful number, since it uses less digits than its factorization.

60664481460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828134 (or 828129 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 60664481460 in words is "sixty billion, six hundred sixty-four million, four hundred eighty-one thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 37 44 45 55 60 66 74 90 99 110 111 132 148 165 180 185 198 220 222 330 333 370 396 407 444 495 555 660 666 740 814 990 1110 1221 1332 1628 1665 1980 2035 2220 2442 3330 3663 4070 4884 6105 6660 7326 8140 12210 14652 18315 24420 36630 73260 828071 1656142 2484213 3312284 4140355 4968426 7452639 8280710 9108781 9936852 12421065 14905278 16561420 18217562 24842130 27326343 29810556 30638627 36435124 37263195 45543905 49684260 54652686 61277254 74526390 81979029 91087810 91915881 109305372 122554508 136631715 149052780 153193135 163958058 182175620 183831762 273263430 275747643 306386270 327916116 337024897 367663524 409895145 459579405 546526860 551495286 612772540 674049794 819790290 919158810 1011074691 1102990572 1348099588 1378738215 1639580580 1685124485 1838317620 2022149382 2757476430 3033224073 3370248970 4044298764 5055373455 5514952860 6066448146 6740497940 10110746910 12132896292 15166120365 20221493820 30332240730 60664481460