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6329217042 = 234436771191
BaseRepresentation
bin1011110010100000…
…00011000000010010
3121100002112112120000
411321100003000102
5100430234421132
62524013030430
7312562312551
oct57120030022
917302475500
106329217042
112758750495
121287785416
1379b356355
14440829d98
152709b887c
hex179403012

6329217042 has 160 divisors (see below), whose sum is σ = 15014191104. Its totient is φ = 1990850400.

The previous prime is 6329217023. The next prime is 6329217047. The reversal of 6329217042 is 2407129236.

6329217042 is a `hidden beast` number, since 632 + 9 + 2 + 17 + 0 + 4 + 2 = 666.

6329217042 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 6329216988 and 6329217006.

It is not an unprimeable number, because it can be changed into a prime (6329217047) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 33137167 + ... + 33137357.

Almost surely, 26329217042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6329217042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7507095552).

6329217042 is an abundant number, since it is smaller than the sum of its proper divisors (8684974062).

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

6329217042 is a wasteful number, since it uses less digits than its factorization.

6329217042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 6329217042 is about 79556.3765011957. The cubic root of 6329217042 is about 1849.7654479359.

The spelling of 6329217042 in words is "six billion, three hundred twenty-nine million, two hundred seventeen thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 43 54 67 71 81 86 129 134 142 162 191 201 213 258 382 387 402 426 573 603 639 774 1146 1161 1206 1278 1719 1809 1917 2322 2881 3053 3438 3483 3618 3834 4757 5157 5427 5751 5762 6106 6966 8213 8643 9159 9514 10314 10854 11502 12797 13561 14271 15471 16426 17286 18318 24639 25594 25929 27122 27477 28542 30942 38391 40683 42813 49278 51858 54954 73917 76782 77787 81366 82431 85626 115173 122049 128439 147834 155574 164862 204551 221751 230346 233361 244098 247293 256878 345519 366147 385317 409102 443502 466722 494586 550271 583123 613653 665253 691038 732294 770634 908587 1036557 1098441 1100542 1166246 1227306 1330506 1650813 1749369 1817174 1840959 2073114 2196882 2725761 3301626 3498738 3681918 4952439 5248107 5451522 5522877 8177283 9904878 10496214 11045754 14857317 15744321 16354566 16568631 24531849 29714634 31488642 33137262 39069241 44571951 47232963 49063698 73595547 78138482 89143902 94465926 117207723 147191094 234415446 351623169 703246338 1054869507 2109739014 3164608521 6329217042