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8380146672 = 2432316728019
BaseRepresentation
bin1111100110111111…
…01110001111110000
3210122000201120002200
413303133232033300
5114130304143142
63503315343200
7414445033332
oct76337561760
923560646080
108380146672
113610413257
12175a5b1b00
13a37222c91
14596d81452
15340a8b64c
hex1f37ee3f0

8380146672 has 120 divisors (see below), whose sum is σ = 24571522560. Its totient is φ = 2662830720.

The previous prime is 8380146667. The next prime is 8380146679. The reversal of 8380146672 is 2766410838.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8380146679) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 285079 + ... + 313097.

It is an arithmetic number, because the mean of its divisors is an integer number (204762688).

Almost surely, 28380146672 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 8380146672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12285761280).

8380146672 is an abundant number, since it is smaller than the sum of its proper divisors (16191375888).

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

8380146672 is a wasteful number, since it uses less digits than its factorization.

8380146672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28131 (or 28122 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 8380146672 is about 91543.1410428985. The cubic root of 8380146672 is about 2031.1899542114.

The spelling of 8380146672 in words is "eight billion, three hundred eighty million, one hundred forty-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 67 72 93 124 134 144 186 201 248 268 279 372 402 496 536 558 603 744 804 1072 1116 1206 1488 1608 2077 2232 2412 3216 4154 4464 4824 6231 8308 9648 12462 16616 18693 24924 28019 33232 37386 49848 56038 74772 84057 99696 112076 149544 168114 224152 252171 299088 336228 448304 504342 672456 868589 1008684 1344912 1737178 1877273 2017368 2605767 3474356 3754546 4034736 5211534 5631819 6948712 7509092 7817301 10423068 11263638 13897424 15018184 15634602 16895457 20846136 22527276 30036368 31269204 33790914 41692272 45054552 58195463 62538408 67581828 90109104 116390926 125076816 135163656 174586389 232781852 270327312 349172778 465563704 523759167 698345556 931127408 1047518334 1396691112 2095036668 2793382224 4190073336 8380146672