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6642265896 = 233379745289
BaseRepresentation
bin1100010111110100…
…01110111100101000
3122010220121001212000
412023322032330220
5102100410002041
63015034451000
7323413220460
oct61372167450
918126531760
106642265896
1128a9427752
121354593a60
1381b172666
14470238ba0
1528d203bb6
hex18be8ef28

6642265896 has 128 divisors (see below), whose sum is σ = 21304416000. Its totient is φ = 1878183936.

The previous prime is 6642265873. The next prime is 6642265919. The reversal of 6642265896 is 6985622466.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6642265873) and next prime (6642265919).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124020 + ... + 169308.

It is an arithmetic number, because the mean of its divisors is an integer number (166440750).

Almost surely, 26642265896 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 6642265896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10652208000).

6642265896 is an abundant number, since it is smaller than the sum of its proper divisors (14662150104).

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

6642265896 is a wasteful number, since it uses less digits than its factorization.

6642265896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45408 (or 45398 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The square root of 6642265896 is about 81500.0975214140. The cubic root of 6642265896 is about 1879.7730501657.

The spelling of 6642265896 in words is "six billion, six hundred forty-two million, two hundred sixty-five thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 97 108 126 168 189 194 216 252 291 378 388 504 582 679 756 776 873 1164 1358 1512 1746 2037 2328 2619 2716 3492 4074 5238 5432 6111 6984 8148 10476 12222 16296 18333 20952 24444 36666 45289 48888 73332 90578 135867 146664 181156 271734 317023 362312 407601 543468 634046 815202 951069 1086936 1222803 1268092 1630404 1902138 2445606 2536184 2853207 3260808 3804276 4393033 4891212 5706414 7608552 8559621 8786066 9782424 11412828 13179099 17119242 17572132 22825656 26358198 30751231 34238484 35144264 39537297 52716396 61502462 68476968 79074594 92253693 105432792 118611891 123004924 158149188 184507386 237223782 246009848 276761079 316298376 369014772 474447564 553522158 738029544 830283237 948895128 1107044316 1660566474 2214088632 3321132948 6642265896