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4672513384 = 237311283547
BaseRepresentation
bin1000101101000000…
…01110010101101000
3110001122011021101021
410112200032111220
534032130412014
62051352102224
7223534465000
oct42640162550
913048137337
104672513384
111a8856a510
12aa4994974
13596058b26
143247b5000
151c5318624
hex11680e568

4672513384 has 128 divisors (see below), whose sum is σ = 11205504000. Its totient is φ = 1810710720.

The previous prime is 4672513367. The next prime is 4672513387. The reversal of 4672513384 is 4833152764.

It is a self number, because there is not a number n which added to its sum of digits gives 4672513384.

It is not an unprimeable number, because it can be changed into a prime (4672513387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8541799 + ... + 8542345.

It is an arithmetic number, because the mean of its divisors is an integer number (87543000).

Almost surely, 24672513384 is an apocalyptic number.

4672513384 is a gapful number since it is divisible by the number (44) 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 4672513384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5602752000).

4672513384 is an abundant number, since it is smaller than the sum of its proper divisors (6532990616).

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

4672513384 is a wasteful number, since it uses less digits than its factorization.

4672513384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 850 counting only the distinct ones).

The product of its digits is 483840, while the sum is 43.

The square root of 4672513384 is about 68355.7853001485. The cubic root of 4672513384 is about 1671.7969093541.

The spelling of 4672513384 in words is "four billion, six hundred seventy-two million, five hundred thirteen thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 49 56 77 88 98 154 196 283 308 343 392 539 547 566 616 686 1078 1094 1132 1372 1981 2156 2188 2264 2744 3113 3773 3829 3962 4312 4376 6017 6226 7546 7658 7924 12034 12452 13867 15092 15316 15848 21791 24068 24904 26803 27734 30184 30632 42119 43582 48136 53606 55468 84238 87164 97069 107212 110936 152537 154801 168476 174328 187621 194138 214424 294833 305074 309602 336952 375242 388276 589666 610148 619204 750484 776552 1067759 1083607 1179332 1220296 1238408 1500968 1702811 2063831 2135518 2167214 2358664 3405622 4127662 4271036 4334428 6811244 7585249 8255324 8542072 8668856 11919677 13622488 15170498 16510648 23839354 30340996 47678708 53096743 60681992 83437739 95357416 106193486 166875478 212386972 333750956 424773944 584064173 667501912 1168128346 2336256692 4672513384