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4661233452 = 2234232921569
BaseRepresentation
bin1000101011101010…
…01100011100101100
3110000211221012020000
410111311030130230
534021233432302
62050310224300
7223336554621
oct42565143454
913024835200
104661233452
111a82165757
12aa1055090
13593909805
143230ba348
151c433b31c
hex115d4c72c

4661233452 has 120 divisors (see below), whose sum is σ = 13154248800. Its totient is φ = 1434875904.

The previous prime is 4661233433. The next prime is 4661233477. The reversal of 4661233452 is 2543321664.

4661233452 is a `hidden beast` number, since 4 + 6 + 612 + 3 + 34 + 5 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 205324 + ... + 226892.

It is an arithmetic number, because the mean of its divisors is an integer number (109618740).

Almost surely, 24661233452 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 4661233452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6577124400).

4661233452 is an abundant number, since it is smaller than the sum of its proper divisors (8493015348).

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

4661233452 is a wasteful number, since it uses less digits than its factorization.

4661233452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21637 (or 21626 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 4661233452 is about 68273.2264654308. The cubic root of 4661233452 is about 1670.4505282848.

The spelling of 4661233452 in words is "four billion, six hundred sixty-one million, two hundred thirty-three thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 23 27 29 36 46 54 58 69 81 87 92 108 116 138 162 174 207 261 276 324 348 414 522 621 667 783 828 1044 1242 1334 1566 1863 2001 2349 2484 2668 3132 3726 4002 4698 6003 7452 8004 9396 12006 18009 21569 24012 36018 43138 54027 64707 72036 86276 108054 129414 194121 216108 258828 388242 496087 582363 625501 776484 992174 1164726 1251002 1488261 1747089 1876503 1984348 2329452 2502004 2976522 3494178 3753006 4464783 5629509 5953044 6988356 7506012 8929566 11259018 13394349 14386523 16888527 17859132 22518036 26788698 28773046 33777054 40183047 43159569 50665581 53577396 57546092 67554108 80366094 86319138 101331162 129478707 160732188 172638276 202662324 258957414 388436121 517914828 776872242 1165308363 1553744484 2330616726 4661233452