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621904668 = 223721128741
BaseRepresentation
bin100101000100011…
…000001100011100
31121100020000211020
4211010120030130
52233201422133
6141413324140
721261050100
oct4504301434
91540200736
10621904668
1129a05a200
12154336650
139bac7c38
145c849900
15398e80b3
hex2511831c

621904668 has 108 divisors (see below), whose sum is σ = 1855646856. Its totient is φ = 161515200.

The previous prime is 621904639. The next prime is 621904729. The reversal of 621904668 is 866409126.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 66778 + ... + 75518.

Almost surely, 2621904668 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 621904668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (927823428).

621904668 is an abundant number, since it is smaller than the sum of its proper divisors (1233742188).

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

621904668 is a wasteful number, since it uses less digits than its factorization.

621904668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8784 (or 8764 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 621904668 is about 24938.0165209665. The cubic root of 621904668 is about 853.5741852823.

The spelling of 621904668 in words is "six hundred twenty-one million, nine hundred four thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 84 98 121 132 147 154 196 231 242 294 308 363 462 484 539 588 726 847 924 1078 1452 1617 1694 2156 2541 3234 3388 5082 5929 6468 8741 10164 11858 17482 17787 23716 26223 34964 35574 52446 61187 71148 96151 104892 122374 183561 192302 244748 288453 367122 384604 428309 576906 673057 734244 856618 1057661 1153812 1284927 1346114 1713236 2019171 2115322 2569854 2692228 3172983 4038342 4230644 4711399 5139708 6345966 7403627 8076684 9422798 12691932 14134197 14807254 18845596 22210881 28268394 29614508 44421762 51825389 56536788 88843524 103650778 155476167 207301556 310952334 621904668