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644190144 = 26313219853
BaseRepresentation
bin100110011001011…
…000111111000000
31122220011020202020
4212121120333000
52304403041034
6143531121440
721651345243
oct4631307700
91586136666
10644190144
113006a0654
1215b8a3280
13a35cb700
14617ab25a
153b84b249
hex26658fc0

644190144 has 84 divisors (see below), whose sum is σ = 1845707256. Its totient is φ = 198202368.

The previous prime is 644190097. The next prime is 644190149. The reversal of 644190144 is 441091446.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (644190149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22522 + ... + 42374.

Almost surely, 2644190144 is an apocalyptic number.

644190144 is a gapful number since it is divisible by the number (64) 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 644190144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922853628).

644190144 is an abundant number, since it is smaller than the sum of its proper divisors (1201517112).

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

644190144 is a wasteful number, since it uses less digits than its factorization.

644190144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19894 (or 19871 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 644190144 is about 25380.9011660343. The cubic root of 644190144 is about 863.6504930666.

The spelling of 644190144 in words is "six hundred forty-four million, one hundred ninety thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 169 192 208 312 338 416 507 624 676 832 1014 1248 1352 2028 2496 2704 4056 5408 8112 10816 16224 19853 32448 39706 59559 79412 119118 158824 238236 258089 317648 476472 516178 635296 774267 952944 1032356 1270592 1548534 1905888 2064712 3097068 3355157 3811776 4129424 6194136 6710314 8258848 10065471 12388272 13420628 16517696 20130942 24776544 26841256 40261884 49553088 53682512 80523768 107365024 161047536 214730048 322095072 644190144