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11998468720 = 2457101307691
BaseRepresentation
bin10110010110010101…
…00001101001110000
31010222012020100211101
423023022201221300
5144033101444340
65302332454144
7603222205240
oct131312415160
933865210741
1011998468720
1150a7906157
1223aa31a354
131192a49844
1481b73db20
154a356bc9a
hex2cb2a1a70

11998468720 has 160 divisors (see below), whose sum is σ = 32348929536. Its totient is φ = 4053888000.

The previous prime is 11998468711. The next prime is 11998468721. The reversal of 11998468720 is 2786489911.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11998468721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17363575 + ... + 17364265.

Almost surely, 211998468720 is an apocalyptic number.

11998468720 is a gapful number since it is divisible by the number (10) 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 11998468720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16174464768).

11998468720 is an abundant number, since it is smaller than the sum of its proper divisors (20350460816).

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

11998468720 is a wasteful number, since it uses less digits than its factorization.

11998468720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 55.

The spelling of 11998468720 in words is "eleven billion, nine hundred ninety-eight million, four hundred sixty-eight thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 101 112 140 202 280 307 404 505 560 614 691 707 808 1010 1228 1382 1414 1535 1616 2020 2149 2456 2764 2828 3070 3455 3535 4040 4298 4837 4912 5528 5656 6140 6910 7070 8080 8596 9674 10745 11056 11312 12280 13820 14140 17192 19348 21490 24185 24560 27640 28280 31007 34384 38696 42980 48370 55280 56560 62014 69791 77392 85960 96740 124028 139582 155035 171920 193480 212137 217049 248056 279164 310070 348955 386960 424274 434098 488537 496112 558328 620140 697910 848548 868196 977074 1060685 1085245 1116656 1240280 1395820 1484959 1697096 1736392 1954148 2121370 2170490 2442685 2480560 2791640 2969918 3394192 3472784 3908296 4242740 4340980 4885370 5583280 5939836 7424795 7816592 8485480 8681960 9770740 11879672 14849590 16970960 17363920 19541480 21425837 23759344 29699180 39082960 42851674 59398360 85703348 107129185 118796720 149980859 171406696 214258370 299961718 342813392 428516740 599923436 749904295 857033480 1199846872 1499808590 1714066960 2399693744 2999617180 5999234360 11998468720