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4544553420 = 22325113137333
BaseRepresentation
bin1000011101110000…
…00110000111001100
3102201201101020022100
410032320012013030
533301401202140
62030541315100
7220422031611
oct41670060714
912651336270
104544553420
111a22311280
12a69b65a90
135756a5a84
143117c6508
151b8e8e530
hex10ee061cc

4544553420 has 144 divisors (see below), whose sum is σ = 15088443552. Its totient is φ = 1098040320.

The previous prime is 4544553389. The next prime is 4544553421. The reversal of 4544553420 is 243554454.

4544553420 is a `hidden beast` number, since 45 + 44 + 553 + 4 + 20 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4544553421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 616074 + ... + 623406.

It is an arithmetic number, because the mean of its divisors is an integer number (104780858).

Almost surely, 24544553420 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 4544553420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7544221776).

4544553420 is an abundant number, since it is smaller than the sum of its proper divisors (10543890132).

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

4544553420 is a wasteful number, since it uses less digits than its factorization.

4544553420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7672 (or 7667 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 36.

The square root of 4544553420 is about 67413.3029898402. The cubic root of 4544553420 is about 1656.3943391568.

The spelling of 4544553420 in words is "four billion, five hundred forty-four million, five hundred fifty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 313 330 396 495 626 660 939 990 1252 1565 1878 1980 2817 3130 3443 3756 4695 5634 6260 6886 7333 9390 10329 11268 13772 14085 14666 17215 18780 20658 21999 28170 29332 30987 34430 36665 41316 43998 51645 56340 61974 65997 68860 73330 80663 87996 103290 109995 123948 131994 146660 154935 161326 206580 219990 241989 263988 309870 322652 329985 403315 439980 483978 619740 659970 725967 806630 967956 1209945 1319940 1451934 1613260 2295229 2419890 2903868 3629835 4590458 4839780 6885687 7259670 9180916 11476145 13771374 14519340 20657061 22952290 25247519 27542748 34428435 41314122 45904580 50495038 68856870 75742557 82628244 100990076 103285305 126237595 137713740 151485114 206570610 227227671 252475190 302970228 378712785 413141220 454455342 504950380 757425570 908910684 1136138355 1514851140 2272276710 4544553420