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621621145332 = 22321129241224603
BaseRepresentation
bin10010000101110111000…
…00011110111011110100
32012102111211212001001200
421002323200132323310
540141040003122312
61153322510252500
762624231361105
oct11027340367364
92172454761050
10621621145332
1121a69aa27050
12a05837b7130
1346807162725
142212d9a63ac
15112830b30dc
hex90bb81eef4

621621145332 has 144 divisors (see below), whose sum is σ = 1780642543680. Its totient is φ = 181119052800.

The previous prime is 621621145331. The next prime is 621621145357. The reversal of 621621145332 is 233541126126.

621621145332 is a `hidden beast` number, since 6 + 2 + 1 + 6 + 2 + 114 + 533 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (621621145331) 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, 2655343 + ... + 2879945.

It is an arithmetic number, because the mean of its divisors is an integer number (12365573220).

Almost surely, 2621621145332 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 621621145332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890321271840).

621621145332 is an abundant number, since it is smaller than the sum of its proper divisors (1159021398348).

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

621621145332 is a wasteful number, since it uses less digits than its factorization.

621621145332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224894 (or 224889 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The spelling of 621621145332 in words is "six hundred twenty-one billion, six hundred twenty-one million, one hundred forty-five thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 33 36 44 58 66 87 99 116 132 174 198 241 261 319 348 396 482 522 638 723 957 964 1044 1276 1446 1914 2169 2651 2871 2892 3828 4338 5302 5742 6989 7953 8676 10604 11484 13978 15906 20967 23859 27956 31812 41934 47718 62901 76879 83868 95436 125802 153758 224603 230637 251604 307516 449206 461274 673809 691911 898412 922548 1347618 1383822 2021427 2470633 2695236 2767644 4042854 4941266 6513487 7411899 8085708 9882532 13026974 14823798 19540461 22235697 26053948 29647596 39080922 44471394 54129323 58621383 71648357 78161844 88942788 108258646 117242766 143296714 162387969 214945071 216517292 234485532 286593428 324775938 429890142 487163907 595422553 644835213 649551876 859780284 974327814 1190845106 1289670426 1569750367 1786267659 1948655628 2381690212 2579340852 3139500734 3572535318 4709251101 5358802977 6279001468 7145070636 9418502202 10717605954 14127753303 17267254037 18837004404 21435211908 28255506606 34534508074 51801762111 56511013212 69069016148 103603524222 155405286333 207207048444 310810572666 621621145332