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422493734912 = 2115322712
BaseRepresentation
bin1100010010111101001…
…01101100100000000000
31111101112022111111102212
412021132211230200000
523410231344004122
6522031351001252
742344534331044
oct6113645544000
91441468444385
10422493734912
111531a6776367
1269a70369228
1330ac1860862
141663d748024
15aecb553ce2
hex625e96c800

422493734912 has 108 divisors (see below), whose sum is σ = 864210106305. Its totient is φ = 206496276480.

The previous prime is 422493734911. The next prime is 422493734939. The reversal of 422493734912 is 219437394224.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 400759899136 + 21733835776 = 633056^2 + 147424^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=459616.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (422493734911) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1559017337 + ... + 1559017607.

Almost surely, 2422493734912 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 422493734912

422493734912 is an abundant number, since it is smaller than the sum of its proper divisors (441716371393).

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

422493734912 is an frugal number, since it uses more digits than its factorization.

422493734912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 326 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 50.

Multiplying 422493734912 by its sum of digits (50), we get a square (21124686745600 = 45961602).

The spelling of 422493734912 in words is "four hundred twenty-two billion, four hundred ninety-three million, seven hundred thirty-four thousand, nine hundred twelve".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 256 271 424 512 542 848 1024 1084 1696 2048 2168 2809 3392 4336 5618 6784 8672 11236 13568 14363 17344 22472 27136 28726 34688 44944 54272 57452 69376 73441 89888 108544 114904 138752 146882 179776 229808 277504 293764 359552 459616 555008 587528 719104 761239 919232 1175056 1438208 1522478 1838464 2350112 2876416 3044956 3676928 3892373 4700224 5752832 6089912 7353856 7784746 9400448 12179824 14707712 15569492 18800896 24359648 29415424 31138984 37601792 48719296 62277968 75203584 97438592 124555936 150407168 194877184 206295769 249111872 389754368 412591538 498223744 779508736 825183076 996447488 1559017472 1650366152 1992894976 3300732304 3985789952 6601464608 7971579904 13202929216 26405858432 52811716864 105623433728 211246867456 422493734912