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126972411408 = 2433293917619
BaseRepresentation
bin111011001000000100…
…1010011111000010000
3110010201220222210212000
41312100021103320100
54040014414131113
6134155203234000
712113331455313
oct1662011237020
9403656883760
10126972411408
1149937685aa7
1220736978900
13bc86880aab
14620736097a
153482170373
hex1d90253e10

126972411408 has 40 divisors (see below), whose sum is σ = 364457848800. Its totient is φ = 42324136992.

The previous prime is 126972411359. The next prime is 126972411469. The reversal of 126972411408 is 804114279621.

126972411408 is a `hidden beast` number, since 1 + 269 + 7 + 241 + 140 + 8 = 666.

It is a super-2 number, since 2×1269724114082 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 146958378 + ... + 146959241.

It is an arithmetic number, because the mean of its divisors is an integer number (9111446220).

Almost surely, 2126972411408 is an apocalyptic number.

126972411408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

126972411408 is an abundant number, since it is smaller than the sum of its proper divisors (237485437392).

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

126972411408 is a wasteful number, since it uses less digits than its factorization.

126972411408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293917636 (or 293917624 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 126972411408 in words is "one hundred twenty-six billion, nine hundred seventy-two million, four hundred eleven thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 293917619 587835238 881752857 1175670476 1763505714 2351340952 2645258571 3527011428 4702681904 5290517142 7054022856 7935775713 10581034284 14108045712 15871551426 21162068568 31743102852 42324137136 63486205704 126972411408