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3066670336480 = 255192118744729
BaseRepresentation
bin101100101000000011110…
…010111100100111100000
3101212011121112021021122121
4230220003302330213200
5400221020101231410
610304450420114024
7434362643523652
oct54500362744740
911764545237577
103066670336480
11a82627503313
12416411835914
131932551aa44a
14a85db6106d2
1554b878929da
hex2ca03cbc9e0

3066670336480 has 144 divisors (see below), whose sum is σ = 7653007066320. Its totient is φ = 1161101666304.

The previous prime is 3066670336469. The next prime is 3066670336481. The reversal of 3066670336480 is 846330766603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3066670336481) 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 23 ways as a sum of consecutive naturals, for example, 68538756 + ... + 68583484.

It is an arithmetic number, because the mean of its divisors is an integer number (53145882405).

Almost surely, 23066670336480 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 3066670336480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3826503533160).

3066670336480 is an abundant number, since it is smaller than the sum of its proper divisors (4586336729840).

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

3066670336480 is a wasteful number, since it uses less digits than its factorization.

3066670336480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45969 (or 45942 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 52.

The spelling of 3066670336480 in words is "three trillion, sixty-six billion, six hundred seventy million, three hundred thirty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 361 380 608 722 760 1187 1444 1520 1805 2374 2888 3040 3610 4748 5776 5935 7220 9496 11552 11870 14440 18992 22553 23740 28880 37984 44729 45106 47480 57760 89458 90212 94960 112765 178916 180424 189920 223645 225530 357832 360848 428507 447290 451060 715664 721696 849851 857014 894580 902120 1431328 1699702 1714028 1789160 1804240 2142535 3399404 3428056 3578320 3608480 4249255 4285070 6798808 6856112 7156640 8498510 8570140 13597616 13712224 16147169 16997020 17140280 27195232 32294338 33994040 34280560 53093323 64588676 67988080 68561120 80735845 106186646 129177352 135976160 161471690 212373292 258354704 265466615 322943380 424746584 516709408 530933230 645886760 849493168 1008773137 1061866460 1291773520 1698986336 2017546274 2123732920 2583547040 4035092548 4247465840 5043865685 8070185096 8494931680 10087731370 16140370192 19166689603 20175462740 32280740384 38333379206 40350925480 76666758412 80701850960 95833448015 153333516824 161403701920 191666896030 306667033648 383333792060 613334067296 766667584120 1533335168240 3066670336480