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6424650144 = 2532114149463
BaseRepresentation
bin1011111101111000…
…00110000110100000
3121120202010001011100
411332330012012200
5101124202301034
62541302314400
7315131424303
oct57674060640
917522101140
106424650144
1127a7602820
1212b3728a00
137b505b243
1444d38cb3a
1527906a099
hex17ef061a0

6424650144 has 144 divisors (see below), whose sum is σ = 20417552064. Its totient is φ = 1899340800.

The previous prime is 6424650121. The next prime is 6424650163. The reversal of 6424650144 is 4410564246.

6424650144 is a `hidden beast` number, since 642 + 4 + 6 + 5 + 0 + 1 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×64246501442 = 82552258945598441472, which contains 22 as substring.

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 = 6424650099 and 6424650108.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105157 + ... + 154619.

It is an arithmetic number, because the mean of its divisors is an integer number (141788556).

Almost surely, 26424650144 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 6424650144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10208776032).

6424650144 is an abundant number, since it is smaller than the sum of its proper divisors (13992901920).

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

6424650144 is a wasteful number, since it uses less digits than its factorization.

6424650144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49531 (or 49520 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 6424650144 is about 80153.9153379297. The cubic root of 6424650144 is about 1859.0161428732.

The spelling of 6424650144 in words is "six billion, four hundred twenty-four million, six hundred fifty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 41 44 48 66 72 82 88 96 99 123 132 144 164 176 198 246 264 288 328 352 369 396 451 492 528 656 738 792 902 984 1056 1312 1353 1476 1584 1804 1968 2706 2952 3168 3608 3936 4059 5412 5904 7216 8118 10824 11808 14432 16236 21648 32472 43296 49463 64944 98926 129888 148389 197852 296778 395704 445167 544093 593556 791408 890334 1088186 1187112 1582816 1632279 1780668 2027983 2176372 2374224 3264558 3561336 4055966 4352744 4748448 4896837 6083949 6529116 7122672 8111932 8705488 9793674 12167898 13058232 14245344 16223864 17410976 18251847 19587348 22307813 24335796 26116464 32447728 36503694 39174696 44615626 48671592 52232928 64895456 66923439 73007388 78349392 89231252 97343184 133846878 146014776 156698784 178462504 194686368 200770317 267693756 292029552 356925008 401540634 535387512 584059104 713850016 803081268 1070775024 1606162536 2141550048 3212325072 6424650144