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2742520424046 = 2313711061466747
BaseRepresentation
bin100111111010001010111…
…101001010011001101110
3100201011220222000121000020
4213322022331022121232
5324413140212032141
65455521350343010
7402066132654324
oct47721275123156
910634828017006
102742520424046
119681073113a7
1238362865aa66
1316b806cb4430
1496a4adabd14
154b514e7e266
hex27e8af4a66e

2742520424046 has 64 divisors (see below), whose sum is σ = 5995822404096. Its totient is φ = 831181276800.

The previous prime is 2742520423969. The next prime is 2742520424053. The reversal of 2742520424046 is 6404240252472.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2742520423989 and 2742520424007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5642445 + ... + 6109191.

It is an arithmetic number, because the mean of its divisors is an integer number (93684725064).

Almost surely, 22742520424046 is an apocalyptic number.

2742520424046 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2742520424046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2997911202048).

2742520424046 is an abundant number, since it is smaller than the sum of its proper divisors (3253301980050).

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

2742520424046 is a wasteful number, since it uses less digits than its factorization.

2742520424046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467897.

The product of its (nonzero) digits is 860160, while the sum is 42.

The spelling of 2742520424046 in words is "two trillion, seven hundred forty-two billion, five hundred twenty million, four hundred twenty-four thousand, forty-six".

Divisors: 1 2 3 6 13 26 39 71 78 142 213 426 923 1061 1846 2122 2769 3183 5538 6366 13793 27586 41379 75331 82758 150662 225993 451986 466747 933494 979303 1400241 1958606 2800482 2937909 5875818 6067711 12135422 18203133 33139037 36406266 66278074 99417111 198834222 430807481 495218567 861614962 990437134 1292422443 1485655701 2584844886 2971311402 6437841371 12875682742 19313524113 35160518257 38627048226 70321036514 105481554771 210963109542 457086737341 914173474682 1371260212023 2742520424046