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4701383640 = 2333510939937
BaseRepresentation
bin1000110000011100…
…10110101111011000
3110010122111000221000
410120032112233120
534112023234030
62054302545000
7224335046562
oct43016265730
913118430830
104701383640
111aa2899128
12ab2598160
1359c026815
1432856c332
151c7b1c860
hex118396bd8

4701383640 has 128 divisors (see below), whose sum is σ = 15815448000. Its totient is φ = 1242169344.

The previous prime is 4701383623. The next prime is 4701383657. The reversal of 4701383640 is 463831074.

4701383640 is a `hidden beast` number, since 4 + 7 + 0 + 1 + 3 + 8 + 3 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (4701383623) and next prime (4701383657).

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

It is a junction number, because it is equal to n+sod(n) for n = 4701383595 and 4701383604.

It is a congruent number.

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, 97752 + ... + 137688.

Almost surely, 24701383640 is an apocalyptic number.

4701383640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4701383640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7907724000).

4701383640 is an abundant number, since it is smaller than the sum of its proper divisors (11114064360).

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

4701383640 is a wasteful number, since it uses less digits than its factorization.

4701383640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40066 (or 40056 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 4701383640 is about 68566.6364932684. The cubic root of 4701383640 is about 1675.2330427962.

The spelling of 4701383640 in words is "four billion, seven hundred one million, three hundred eighty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 109 120 135 180 216 218 270 327 360 436 540 545 654 872 981 1080 1090 1308 1635 1962 2180 2616 2943 3270 3924 4360 4905 5886 6540 7848 9810 11772 13080 14715 19620 23544 29430 39240 39937 58860 79874 117720 119811 159748 199685 239622 319496 359433 399370 479244 599055 718866 798740 958488 1078299 1198110 1437732 1597480 1797165 2156598 2396220 2875464 3594330 4313196 4353133 4792440 5391495 7188660 8626392 8706266 10782990 13059399 14377320 17412532 21565980 21765665 26118798 34825064 39178197 43131960 43531330 52237596 65296995 78356394 87062660 104475192 117534591 130593990 156712788 174125320 195890985 235069182 261187980 313425576 391781970 470138364 522375960 587672955 783563940 940276728 1175345910 1567127880 2350691820 4701383640