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6479142232960 = 275311671955507
BaseRepresentation
bin101111001001000101011…
…1110001010001110000000
3211221101210120011220201101
41132102022332022032000
51322123240402423320
621440250555544144
71236050120203225
oct136221276121600
924841716156641
106479142232960
112078874974851
1288784b75b054
1337cc991a5587
14185840c4594c
15b380d8b6c0a
hex5e48af8a380

6479142232960 has 128 divisors (see below), whose sum is σ = 16084600842240. Its totient is φ = 2493035489280.

The previous prime is 6479142232931. The next prime is 6479142232963. The reversal of 6479142232960 is 692322419746.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6479142232963) 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 15 ways as a sum of consecutive naturals, for example, 2335527 + ... + 4291033.

It is an arithmetic number, because the mean of its divisors is an integer number (125660944080).

Almost surely, 26479142232960 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 6479142232960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8042300421120).

6479142232960 is an abundant number, since it is smaller than the sum of its proper divisors (9605458609280).

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

6479142232960 is a wasteful number, since it uses less digits than its factorization.

6479142232960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1955724 (or 1955712 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 55.

The spelling of 6479142232960 in words is "six trillion, four hundred seventy-nine billion, one hundred forty-two million, two hundred thirty-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 155 160 167 248 310 320 334 496 620 640 668 835 992 1240 1336 1670 1984 2480 2672 3340 3968 4960 5177 5344 6680 9920 10354 10688 13360 19840 20708 21376 25885 26720 41416 51770 53440 82832 103540 106880 165664 207080 331328 414160 662656 828320 1656640 1955507 3313280 3911014 7822028 9777535 15644056 19555070 31288112 39110140 60620717 62576224 78220280 121241434 125152448 156440560 242482868 250304896 303103585 312881120 326569669 484965736 606207170 625762240 653139338 969931472 1212414340 1251524480 1306278676 1632848345 1939862944 2424828680 2612557352 3265696690 3879725888 4849657360 5225114704 6531393380 7759451776 9699314720 10123659739 10450229408 13062786760 19398629440 20247319478 20900458816 26125573520 38797258880 40494638956 41800917632 50618298695 52251147040 80989277912 101236597390 104502294080 161978555824 202473194780 209004588160 323957111648 404946389560 647914223296 809892779120 1295828446592 1619785558240 3239571116480 6479142232960