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2264641405152 = 253722315112117
BaseRepresentation
bin100000111101000111001…
…001011000000011100000
322000111102202100011010020
4200331013021120003200
5244100441144431102
64452210100433440
7322420632222150
oct40750711300340
98014382304106
102264641405152
117a347a041475
12306a9b9a8880
13135729a96cb9
147b875a1c760
153dd963c5bbc
hex20f472580e0

2264641405152 has 96 divisors (see below), whose sum is σ = 6824390694912. Its totient is φ = 644138832384.

The previous prime is 2264641405133. The next prime is 2264641405153. The reversal of 2264641405152 is 2515041464622.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2264641405153) 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, 7406203 + ... + 7705914.

It is an arithmetic number, because the mean of its divisors is an integer number (71087403072).

Almost surely, 22264641405152 is an apocalyptic number.

It is an amenable number.

2264641405152 is an abundant number, since it is smaller than the sum of its proper divisors (4559749289760).

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

2264641405152 is a wasteful number, since it uses less digits than its factorization.

2264641405152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15112360 (or 15112352 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

Adding to 2264641405152 its reverse (2515041464622), we get a palindrome (4779682869774).

The spelling of 2264641405152 in words is "two trillion, two hundred sixty-four billion, six hundred forty-one million, four hundred five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 223 224 336 446 669 672 892 1338 1561 1784 2676 3122 3568 4683 5352 6244 7136 9366 10704 12488 18732 21408 24976 37464 49952 74928 149856 15112117 30224234 45336351 60448468 90672702 105784819 120896936 181345404 211569638 241793872 317354457 362690808 423139276 483587744 634708914 725381616 846278552 1269417828 1450763232 1692557104 2538835656 3370002091 3385114208 5077671312 6740004182 10110006273 10155342624 13480008364 20220012546 23590014637 26960016728 40440025092 47180029274 53920033456 70770043911 80880050184 94360058548 107840066912 141540087822 161760100368 188720117096 283080175644 323520200736 377440234192 566160351288 754880468384 1132320702576 2264641405152