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145212755766020 = 22553316937432241
BaseRepresentation
bin100001000001000111111010…
…101110010110101100000100
3201001011012111121212101221022
4201001013322232112230010
5123013131210434003040
61232501452530010312
742405163313154365
oct4101077256265404
9631135447771838
10145212755766020
11422a6424a39798
1214353256116998
1363046726c1777
1427c0498ca5b6c
1511bc4b4e3d6b5
hex8411fab96b04

145212755766020 has 48 divisors (see below), whose sum is σ = 310702199210928. Its totient is φ = 56988845322240.

The previous prime is 145212755765993. The next prime is 145212755766047. The reversal of 145212755766020 is 20667557212541.

It is an interprime number because it is at equal distance from previous prime (145212755765993) and next prime (145212755766047).

It can be written as a sum of positive squares in 8 ways, for example, as 6793154151424 + 138419601614596 = 2606368^2 + 11765186^2 .

It is a Harshad number since it is a multiple of its sum of digits (53).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 335737100 + ... + 336169340.

It is an arithmetic number, because the mean of its divisors is an integer number (6472962483561).

Almost surely, 2145212755766020 is an apocalyptic number.

145212755766020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145212755766020 is an abundant number, since it is smaller than the sum of its proper divisors (165489443444908).

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

145212755766020 is a wasteful number, since it uses less digits than its factorization.

145212755766020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749240 (or 749238 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 53.

The spelling of 145212755766020 in words is "one hundred forty-five trillion, two hundred twelve billion, seven hundred fifty-five million, seven hundred sixty-six thousand, twenty".

Divisors: 1 2 4 5 10 20 53 106 212 265 530 1060 316937 432241 633874 864482 1267748 1584685 1728964 2161205 3169370 4322410 6338740 8644820 16797661 22908773 33595322 45817546 67190644 83988305 91635092 114543865 167976610 229087730 335953220 458175460 136993165817 273986331634 547972663268 684965829085 1369931658170 2739863316340 7260637788301 14521275576602 29042551153204 36303188941505 72606377883010 145212755766020