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2120407046706 = 2313127214052801
BaseRepresentation
bin11110110110110010000…
…110111101101000110010
321111201010210221120120110
4132312302012331220302
5234220043200443311
64302033533522150
7306123443341404
oct36666206755062
97451123846513
102120407046706
11748294554143
122a2b48043356
13124c51b89580
14748b1cb2b74
153a253a898a6
hex1edb21bda32

2120407046706 has 32 divisors (see below), whose sum is σ = 4602991454208. Its totient is φ = 647295667200.

The previous prime is 2120407046699. The next prime is 2120407046707. The reversal of 2120407046706 is 6076407040212.

It is a super-2 number, since 2×21204070467062 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (2120407046707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107016495 + ... + 107036306.

It is an arithmetic number, because the mean of its divisors is an integer number (143843482944).

Almost surely, 22120407046706 is an apocalyptic number.

2120407046706 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2120407046706 is an abundant number, since it is smaller than the sum of its proper divisors (2482584407502).

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

2120407046706 is a wasteful number, since it uses less digits than its factorization.

2120407046706 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214052946.

The product of its (nonzero) digits is 112896, while the sum is 39.

The spelling of 2120407046706 in words is "two trillion, one hundred twenty billion, four hundred seven million, forty-six thousand, seven hundred six".

Divisors: 1 2 3 6 13 26 39 78 127 254 381 762 1651 3302 4953 9906 214052801 428105602 642158403 1284316806 2782686413 5565372826 8348059239 16696118478 27184705727 54369411454 81554117181 163108234362 353401174451 706802348902 1060203523353 2120407046706