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4685673744 = 2437359373
BaseRepresentation
bin1000101110100100…
…11011010100010000
3110002112220220000000
410113102123110100
534044013024434
62052542130000
7224054366253
oct42722332420
913075826000
104685673744
111a94a39044
12aa9280900
135989b601b
1432643d09a
151c6567b99
hex11749b510

4685673744 has 160 divisors (see below), whose sum is σ = 13690195200. Its totient is φ = 1553364864.

The previous prime is 4685673721. The next prime is 4685673757. The reversal of 4685673744 is 4473765864.

4685673744 is a `hidden beast` number, since 4 + 6 + 8 + 567 + 3 + 74 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 12561942 + ... + 12562314.

It is an arithmetic number, because the mean of its divisors is an integer number (85563720).

Almost surely, 24685673744 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 4685673744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6845097600).

4685673744 is an abundant number, since it is smaller than the sum of its proper divisors (9004521456).

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

4685673744 is an equidigital number, since it uses as much as digits as its factorization.

4685673744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761 (or 737 counting only the distinct ones).

The product of its digits is 13547520, while the sum is 54.

The square root of 4685673744 is about 68451.9813007629. The cubic root of 4685673744 is about 1673.3650036951.

The spelling of 4685673744 in words is "four billion, six hundred eighty-five million, six hundred seventy-three thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 359 373 432 486 648 718 729 746 972 1077 1119 1296 1436 1458 1492 1944 2154 2187 2238 2872 2916 2984 3231 3357 3888 4308 4374 4476 5744 5832 5968 6462 6714 8616 8748 8952 9693 10071 11664 12924 13428 17232 17496 17904 19386 20142 25848 26856 29079 30213 34992 38772 40284 51696 53712 58158 60426 77544 80568 87237 90639 116316 120852 133907 155088 161136 174474 181278 232632 241704 261711 267814 271917 348948 362556 401721 465264 483408 523422 535628 543834 697896 725112 785133 803442 815751 1046844 1071256 1087668 1205163 1395792 1450224 1570266 1606884 1631502 2093688 2142512 2175336 2410326 3140532 3213768 3263004 3615489 4187376 4350672 4820652 6281064 6427536 6526008 7230978 9641304 10846467 12562128 13052016 14461956 19282608 21692934 28923912 32539401 43385868 57847824 65078802 86771736 97618203 130157604 173543472 195236406 260315208 292854609 390472812 520630416 585709218 780945624 1171418436 1561891248 2342836872 4685673744