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19997232188448 = 2531513593383941
BaseRepresentation
bin1001000101111111101111…
…11010111100110000100000
32121210201100111100002222210
410202333313322330300200
510110113312420012243
6110310333542202120
74132516025015304
oct442776772746040
977721314302883
1019997232188448
11640a862275279
1222ab720723340
13b20966a46918
144d1c2a815d04
1524a291da8933
hex122ff7ebcc20

19997232188448 has 96 divisors (see below), whose sum is σ = 52855212638592. Its totient is φ = 6619739904000.

The previous prime is 19997232188443. The next prime is 19997232188497. The reversal of 19997232188448 is 84488123279991.

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

It is a self number, because there is not a number n which added to its sum of digits gives 19997232188448.

It is not an unprimeable number, because it can be changed into a prime (19997232188443) 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, 51892158 + ... + 52276098.

It is an arithmetic number, because the mean of its divisors is an integer number (550575131652).

Almost surely, 219997232188448 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 19997232188448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26427606319296).

19997232188448 is an abundant number, since it is smaller than the sum of its proper divisors (32857980450144).

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

19997232188448 is a wasteful number, since it uses less digits than its factorization.

19997232188448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387698 (or 387690 counting only the distinct ones).

The product of its digits is 501645312, while the sum is 75.

The spelling of 19997232188448 in words is "nineteen trillion, nine hundred ninety-seven billion, two hundred thirty-two million, one hundred eighty-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 151 302 453 604 906 1208 1812 2416 3593 3624 4832 7186 7248 10779 14372 14496 21558 28744 43116 57488 86232 114976 172464 344928 383941 542543 767882 1085086 1151823 1535764 1627629 2170172 2303646 3071528 3255258 4340344 4607292 6143056 6510516 8680688 9214584 12286112 13021032 17361376 18429168 26042064 36858336 52084128 57975091 115950182 173925273 231900364 347850546 463800728 695701092 927601456 1379500013 1391402184 1855202912 2759000026 2782804368 4138500039 5518000052 5565608736 8277000078 11036000104 16554000156 22072000208 33108000312 44144000416 66216000624 132432001248 208304501963 416609003926 624913505889 833218007852 1249827011778 1666436015704 2499654023556 3332872031408 4999308047112 6665744062816 9998616094224 19997232188448