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1968588434424 = 2331753306129741
BaseRepresentation
bin11100101001011001000…
…000111010101111111000
320222012021022102222122110
4130221121000322233320
5224223132114400144
64104205042052320
7262140312413463
oct34513100725770
96865238388573
101968588434424
11699967939737
1227963834a0a0
13113838901491
146b3ccba22da
153631a4c70b9
hex1ca5903abf8

1968588434424 has 128 divisors (see below), whose sum is σ = 5311202633280. Its totient is φ = 605725286400.

The previous prime is 1968588434387. The next prime is 1968588434437. The reversal of 1968588434424 is 4244348858691.

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, 66176194 + ... + 66205934.

Almost surely, 21968588434424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1968588434424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2655601316640).

1968588434424 is an abundant number, since it is smaller than the sum of its proper divisors (3342614198856).

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

1968588434424 is a wasteful number, since it uses less digits than its factorization.

1968588434424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32881 (or 32877 counting only the distinct ones).

The product of its digits is 212336640, while the sum is 66.

The spelling of 1968588434424 in words is "one trillion, nine hundred sixty-eight billion, five hundred eighty-eight million, four hundred thirty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 53 68 102 106 136 159 204 212 318 408 424 636 901 1272 1802 2703 3061 3604 5406 6122 7208 9183 10812 12244 18366 21624 24488 29741 36732 52037 59482 73464 89223 104074 118964 156111 162233 178446 208148 237928 312222 324466 356892 416296 486699 505597 624444 648932 713784 973398 1011194 1248888 1297864 1516791 1576273 1946796 2022388 2757961 3033582 3152546 3893592 4044776 4728819 5515922 6067164 6305092 8273883 9457638 11031844 12134328 12610184 16547766 18915276 22063688 26796641 33095532 37830552 53593282 66191064 80389923 91037201 107186564 160779846 182074402 214373128 273111603 321559692 364148804 546223206 643119384 728297608 1092446412 1547632417 2184892824 3095264834 4642897251 4824971653 6190529668 9285794502 9649943306 12381059336 14474914959 18571589004 19299886612 28949829918 37143178008 38599773224 57899659836 82024518101 115799319672 164049036202 246073554303 328098072404 492147108606 656196144808 984294217212 1968588434424