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4661642232 = 2333133175237
BaseRepresentation
bin1000101011101101…
…10000001111111000
3110000212200221222000
410111312300033320
534021340022412
62050323101000
7223343206452
oct42566601770
913025627860
104661642232
111a82414895
12aa1211760
13593a208b0
143231852d2
151c43bc4dc
hex115db03f8

4661642232 has 128 divisors (see below), whose sum is σ = 13991745600. Its totient is φ = 1429553664.

The previous prime is 4661642221. The next prime is 4661642269. The reversal of 4661642232 is 2322461664.

4661642232 is a `hidden beast` number, since 4 + 6 + 6 + 1 + 642 + 2 + 3 + 2 = 666.

It is a super-3 number, since 3×46616422323 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 887518 + ... + 892754.

Almost surely, 24661642232 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 4661642232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6995872800).

4661642232 is an abundant number, since it is smaller than the sum of its proper divisors (9330103368).

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

4661642232 is a wasteful number, since it uses less digits than its factorization.

4661642232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5582 (or 5572 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 4661642232 is about 68276.2201062713. The cubic root of 4661642232 is about 1670.4993584791.

The spelling of 4661642232 in words is "four billion, six hundred sixty-one million, six hundred forty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 317 351 468 634 702 936 951 1268 1404 1902 2536 2808 2853 3804 4121 5237 5706 7608 8242 8559 10474 11412 12363 15711 16484 17118 20948 22824 24726 31422 32968 34236 37089 41896 47133 49452 62844 68081 68472 74178 94266 98904 111267 125688 136162 141399 148356 188532 204243 222534 272324 282798 296712 377064 408486 445068 544648 565596 612729 816972 890136 1131192 1225458 1633944 1660129 1838187 2450916 3320258 3676374 4901832 4980387 6640516 7352748 9960774 13281032 14705496 14941161 19921548 21581677 29882322 39843096 43163354 44823483 59764644 64745031 86326708 89646966 119529288 129490062 172653416 179293932 194235093 258980124 358587864 388470186 517960248 582705279 776940372 1165410558 1553880744 2330821116 4661642232