Search a number
-
+
329032628928 = 2633137992
BaseRepresentation
bin1001100100110111101…
…11110111101011000000
31011110021211221101111000
410302123313313223000
520342324323111203
6411053331052000
732525510125353
oct4623367675300
91143254841430
10329032628928
111175a6383103
1253928441000
132504896c293
1411cd4cd429a
15885b3ee4a3
hex4c9bdf7ac0

329032628928 has 84 divisors (see below), whose sum is σ = 967365101080. Its totient is φ = 109669594752.

The previous prime is 329032628927. The next prime is 329032628933. The reversal of 329032628928 is 829826230923.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

329032628928 is a `hidden beast` number, since 3 + 2 + 9 + 0 + 3 + 2 + 628 + 9 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (329032628923) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23837773 + ... + 23851571.

Almost surely, 2329032628928 is an apocalyptic number.

It is an amenable number.

329032628928 is an abundant number, since it is smaller than the sum of its proper divisors (638332472152).

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

329032628928 is an frugal number, since it uses more digits than its factorization.

329032628928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27619 (or 13804 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 329032628928 in words is "three hundred twenty-nine billion, thirty-two million, six hundred twenty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 13799 27598 41397 55196 82794 110392 124191 165588 220784 248382 331176 372573 441568 496764 662352 745146 883136 993528 1324704 1490292 1987056 2649408 2980584 3974112 5961168 7948224 11922336 23844672 190412401 380824802 571237203 761649604 1142474406 1523299208 1713711609 2284948812 3046598416 3427423218 4569897624 5141134827 6093196832 6854846436 9139795248 10282269654 12186393664 13709692872 18279590496 20564539308 27419385744 36559180992 41129078616 54838771488 82258157232 109677542976 164516314464 329032628928