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4765102128 = 2433372411237
BaseRepresentation
bin1000111000000010…
…11011000000110000
3110022002101021021000
410130001123000300
534224331232003
62104500402000
7226040462013
oct43401330060
913262337230
104765102128
112025859836
12b0b9a6300
135ac2a6177
14332bd737a
151cd5071a3
hex11c05b030

4765102128 has 160 divisors (see below), whose sum is σ = 14116963520. Its totient is φ = 1537781760.

The previous prime is 4765102063. The next prime is 4765102157. The reversal of 4765102128 is 8212015674.

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 = 4765102092 and 4765102101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3851526 + ... + 3852762.

It is an arithmetic number, because the mean of its divisors is an integer number (88231022).

Almost surely, 24765102128 is an apocalyptic number.

4765102128 is a gapful number since it is divisible by the number (48) 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 4765102128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7058481760).

4765102128 is an abundant number, since it is smaller than the sum of its proper divisors (9351861392).

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

4765102128 is a wasteful number, since it uses less digits than its factorization.

4765102128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1532 (or 1520 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 4765102128 is about 69029.7191650089. The cubic root of 4765102128 is about 1682.7673268606.

The spelling of 4765102128 in words is "four billion, seven hundred sixty-five million, one hundred two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 37 48 54 72 74 108 111 144 148 216 222 241 296 333 432 444 482 592 666 723 888 964 999 1237 1332 1446 1776 1928 1998 2169 2474 2664 2892 3711 3856 3996 4338 4948 5328 5784 6507 7422 7992 8676 8917 9896 11133 11568 13014 14844 15984 17352 17834 19792 22266 26028 26751 29688 33399 34704 35668 44532 45769 52056 53502 59376 66798 71336 80253 89064 91538 104112 107004 133596 137307 142672 160506 178128 183076 214008 240759 267192 274614 298117 321012 366152 411921 428016 481518 534384 549228 596234 642024 732304 823842 894351 963036 1098456 1192468 1235763 1284048 1647684 1788702 1926072 2196912 2384936 2471526 2683053 3295368 3577404 3852144 4769872 4943052 5366106 6590736 7154808 8049159 9886104 10732212 11030329 14309616 16098318 19772208 21464424 22060658 32196636 33090987 42928848 44121316 64393272 66181974 88242632 99272961 128786544 132363948 176485264 198545922 264727896 297818883 397091844 529455792 595637766 794183688 1191275532 1588367376 2382551064 4765102128