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4074374546064 = 243259228512
BaseRepresentation
bin111011010010100011101…
…001011100001010010000
3112102111200011112002212100
4323102203221130022100
51013223304340433224
612355424122400400
7600235541135304
oct73224351341220
915374604462770
104074374546064
111330a29237969
12559783960100
1323729a633384
141012b4d25d04
1570eb5677ac9
hex3b4a3a5c290

4074374546064 has 135 divisors (see below), whose sum is σ = 11603199645219. Its totient is φ = 1334637489600.

The previous prime is 4074374546023. The next prime is 4074374546069. The reversal of 4074374546064 is 4606454734704.

The square root of 4074374546064 is 2018508.

It is a perfect power (a square), and thus also a powerful number.

4074374546064 is a `hidden beast` number, since 4 + 0 + 7 + 4 + 37 + 4 + 546 + 0 + 64 = 666.

It is a super-2 number, since 2×40743745460642 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4074374546064.

It is not an unprimeable number, because it can be changed into a prime (4074374546069) 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 26 ways as a sum of consecutive naturals, for example, 1429102239 + ... + 1429105089.

Almost surely, 24074374546064 is an apocalyptic number.

4074374546064 is the 2018508-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4074374546064

4074374546064 is an abundant number, since it is smaller than the sum of its proper divisors (7528825099155).

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

4074374546064 is an frugal number, since it uses more digits than its factorization.

4074374546064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5834 (or 2915 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 54.

The spelling of 4074374546064 in words is "four trillion, seventy-four billion, three hundred seventy-four million, five hundred forty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 59 72 118 144 177 236 354 472 531 708 944 1062 1416 2124 2832 2851 3481 4248 5702 6962 8496 8553 10443 11404 13924 17106 20886 22808 25659 27848 31329 34212 41772 45616 51318 55696 62658 68424 83544 102636 125316 136848 167088 168209 205272 250632 336418 410544 501264 504627 672836 1009254 1345672 1513881 2018508 2691344 3027762 4037016 6055524 8074032 8128201 9924331 12111048 16256402 19848662 24222096 24384603 29772993 32512804 39697324 48769206 59545986 65025608 73153809 79394648 89318979 97538412 119091972 130051216 146307618 158789296 178637958 195076824 238183944 292615236 357275916 390153648 476367888 479563859 585230472 714551832 959127718 1170460944 1429103664 1438691577 1918255436 2877383154 3836510872 4316074731 5754766308 7673021744 8632149462 11509532616 17264298924 23019065232 28294267681 34528597848 56588535362 69057195696 84882803043 113177070724 169765606086 226354141448 254648409129 339531212172 452708282896 509296818258 679062424344 1018593636516 1358124848688 2037187273032 4074374546064