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742795223552 = 294129292
BaseRepresentation
bin10101100111100100000…
…10111010001000000000
32122000021200021000002122
422303302002322020000
544132221034123202
61325122503303412
7104444105140064
oct12636202721000
92560250230078
10742795223552
112670215a2548
12bbb6074ab68
1355078666625
1427d46c11aa4
15144c61839a2
hexacf20ba200

742795223552 has 90 divisors (see below), whose sum is σ = 1522860339759. Its totient is φ = 361949102080.

The previous prime is 742795223507. The next prime is 742795223579. The reversal of 742795223552 is 255322597247.

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 5 ways, for example, as 126155673856 + 616639549696 = 355184^2 + 785264^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=609424.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 742795223494 and 742795223503.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 799563824 + ... + 799564752.

Almost surely, 2742795223552 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 742795223552

742795223552 is an abundant number, since it is smaller than the sum of its proper divisors (780065116207).

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

742795223552 is an frugal number, since it uses more digits than its factorization.

742795223552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1958 (or 972 counting only the distinct ones).

The product of its digits is 10584000, while the sum is 53.

The spelling of 742795223552 in words is "seven hundred forty-two billion, seven hundred ninety-five million, two hundred twenty-three thousand, five hundred fifty-two".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 328 512 656 929 1312 1681 1858 2624 3362 3716 5248 6724 7432 10496 13448 14864 20992 26896 29728 38089 53792 59456 76178 107584 118912 152356 215168 237824 304712 430336 475648 609424 860672 863041 1218848 1561649 1726082 2437696 3123298 3452164 4875392 6246596 6904328 9750784 12493192 13808656 19501568 24986384 27617312 35384681 49972768 55234624 70769362 99945536 110469248 141538724 199891072 220938496 283077448 399782144 441876992 566154896 799564288 1132309792 1450771921 2264619584 2901543842 4529239168 5803087684 9058478336 11606175368 18116956672 23212350736 46424701472 92849402944 185698805888 371397611776 742795223552