Search a number
-
+
19655885952 = 273326921143
BaseRepresentation
bin10010010011100101…
…010000010010000000
31212201212000110112000
4102103211100102000
5310223401322302
613010233504000
71264043162643
oct222345202200
955655013460
1019655885952
11837726504a
123986872000
131b13302861
14d4670ba5a
157a094631c
hex493950480

19655885952 has 128 divisors (see below), whose sum is σ = 58230576000. Its totient is φ = 6527296512.

The previous prime is 19655885897. The next prime is 19655885989. The reversal of 19655885952 is 25958855691.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 19655885952.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 919093 + ... + 940235.

It is an arithmetic number, because the mean of its divisors is an integer number (454926375).

Almost surely, 219655885952 is an apocalyptic number.

19655885952 is a gapful number since it is divisible by the number (12) 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 19655885952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29115288000).

19655885952 is an abundant number, since it is smaller than the sum of its proper divisors (38574690048).

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

19655885952 is a wasteful number, since it uses less digits than its factorization.

19655885952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21435 (or 21417 counting only the distinct ones).

The product of its digits is 38880000, while the sum is 63.

The spelling of 19655885952 in words is "nineteen billion, six hundred fifty-five million, eight hundred eighty-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 269 288 384 432 538 576 807 864 1076 1152 1614 1728 2152 2421 3228 3456 4304 4842 6456 7263 8608 9684 12912 14526 17216 19368 21143 25824 29052 34432 38736 42286 51648 58104 63429 77472 84572 103296 116208 126858 154944 169144 190287 232416 253716 309888 338288 380574 464832 507432 570861 676576 761148 929664 1014864 1141722 1353152 1522296 2029728 2283444 2706304 3044592 4059456 4566888 5687467 6089184 8118912 9133776 11374934 12178368 17062401 18267552 22749868 24356736 34124802 36535104 45499736 51187203 68249604 73070208 90999472 102374406 136499208 153561609 181998944 204748812 272998416 307123218 363997888 409497624 545996832 614246436 727995776 818995248 1091993664 1228492872 1637990496 2183987328 2456985744 3275980992 4913971488 6551961984 9827942976 19655885952