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3423458003648 = 261921279115853
BaseRepresentation
bin110001110100010101111…
…111111000101011000000
3110010021112200012200220212
4301310111333320223000
5422042220222104043
611140414230053252
7502223323620224
oct61642577705300
913107480180825
103423458003648
1110aa975880451
124735a51aa228
131baaa509a077
14bb9a672a784
155e0ba76c018
hex31d15ff8ac0

3423458003648 has 84 divisors (see below), whose sum is σ = 7175459197440. Its totient is φ = 1620356120064.

The previous prime is 3423458003627. The next prime is 3423458003653. The reversal of 3423458003648 is 8463008543243.

It is a junction number, because it is equal to n+sod(n) for n = 3423458003596 and 3423458003605.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29492090 + ... + 29607942.

Almost surely, 23423458003648 is an apocalyptic number.

3423458003648 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3423458003648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3587729598720).

3423458003648 is an abundant number, since it is smaller than the sum of its proper divisors (3752001193792).

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

3423458003648 is a wasteful number, since it uses less digits than its factorization.

3423458003648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117182 (or 117153 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 50.

The spelling of 3423458003648 in words is "three trillion, four hundred twenty-three billion, four hundred fifty-eight million, three thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 304 361 608 722 1216 1279 1444 2558 2888 5116 5776 10232 11552 20464 23104 24301 40928 48602 81856 97204 115853 194408 231706 388816 461719 463412 777632 923438 926824 1555264 1846876 1853648 2201207 3693752 3707296 4402414 7387504 7414592 8804828 14775008 17609656 29550016 35219312 41822933 70438624 83645866 140877248 148175987 167291732 296351974 334583464 592703948 669166928 1185407896 1338333856 2370815792 2676667712 2815343753 4741631584 5630687506 9483263168 11261375012 22522750024 45045500048 53491531307 90091000096 106983062614 180182000192 213966125228 427932250456 855864500912 1711729001824 3423458003648