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4658945920 = 27519537229
BaseRepresentation
bin1000101011011000…
…11101111110000000
3110000200121222022121
410111230131332000
534020142232140
62050145214024
7223311246466
oct42554357600
913020558277
104658945920
111a80943032
12aa0331314
135932b8545
14322a82836
151c403864a
hex115b1df80

4658945920 has 128 divisors (see below), whose sum is σ = 11946852000. Its totient is φ = 1731944448.

The previous prime is 4658945911. The next prime is 4658945953. The reversal of 4658945920 is 295498564.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 640866 + ... + 648094.

Almost surely, 24658945920 is an apocalyptic number.

4658945920 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 4658945920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5973426000).

4658945920 is an abundant number, since it is smaller than the sum of its proper divisors (7287906080).

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

4658945920 is a wasteful number, since it uses less digits than its factorization.

4658945920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7320 (or 7308 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 52.

The square root of 4658945920 is about 68256.4716345637. The cubic root of 4658945920 is about 1670.1772219205.

The spelling of 4658945920 in words is "four billion, six hundred fifty-eight million, nine hundred forty-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 53 64 76 80 95 106 128 152 160 190 212 265 304 320 380 424 530 608 640 760 848 1007 1060 1216 1520 1696 2014 2120 2432 3040 3392 4028 4240 5035 6080 6784 7229 8056 8480 10070 12160 14458 16112 16960 20140 28916 32224 33920 36145 40280 57832 64448 72290 80560 115664 128896 137351 144580 161120 231328 274702 289160 322240 383137 462656 549404 578320 644480 686755 766274 925312 1098808 1156640 1373510 1532548 1915685 2197616 2313280 2747020 3065096 3831370 4395232 4626560 5494040 6130192 7279603 7662740 8790464 10988080 12260384 14559206 15325480 17580928 21976160 24520768 29118412 30650960 36398015 43952320 49041536 58236824 61301920 72796030 87904640 116473648 122603840 145592060 232947296 245207680 291184120 465894592 582368240 931789184 1164736480 2329472960 4658945920