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126009070420 = 22517521711353
BaseRepresentation
bin111010101011010111…
…0011101001101010100
3110001020210022000110011
41311112232131031110
54031031310223140
6133515431410004
712050423266102
oct1652656351524
9401223260404
10126009070420
1149492920722
1220508223904
13bb6210a83c
146155436c72
1534277d0cea
hex1d56b9d354

126009070420 has 48 divisors (see below), whose sum is σ = 280723051728. Its totient is φ = 47347589120.

The previous prime is 126009070381. The next prime is 126009070427. The reversal of 126009070420 is 24070900621.

It can be written as a sum of positive squares in 8 ways, for example, as 16609538884 + 109399531536 = 128878^2 + 330756^2 .

It is a super-2 number, since 2×1260090704202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126009070427) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178537 + ... + 532816.

It is an arithmetic number, because the mean of its divisors is an integer number (5848396911).

Almost surely, 2126009070420 is an apocalyptic number.

126009070420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126009070420 is an abundant number, since it is smaller than the sum of its proper divisors (154713981308).

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

126009070420 is a wasteful number, since it uses less digits than its factorization.

126009070420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711900 (or 711898 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The spelling of 126009070420 in words is "one hundred twenty-six billion, nine million, seventy thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 521 1042 2084 2605 5210 8857 10420 17714 35428 44285 88570 177140 711353 1422706 2845412 3556765 7113530 12093001 14227060 24186002 48372004 60465005 120930010 241860020 370614913 741229826 1482459652 1853074565 3706149130 6300453521 7412298260 12600907042 25201814084 31502267605 63004535210 126009070420