Search a number
-
+
629518066912 = 25721575574591
BaseRepresentation
bin10010010100100100011…
…00110110010011100000
32020011220012022012221201
421022102030312103200
540303223111120122
61201110244530544
763324021165100
oct11122214662340
92204805265851
10629518066912
11222a825a0119
12a20083b0a54
1347495224aa7
142267c6bb200
15115964eba27
hex92923364e0

629518066912 has 144 divisors (see below), whose sum is σ = 1453813075008. Its totient is φ = 267535457280.

The previous prime is 629518066907. The next prime is 629518066967. The reversal of 629518066912 is 219660815926.

It is a congruent number.

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, 137117737 + ... + 137122327.

It is an arithmetic number, because the mean of its divisors is an integer number (10095924132).

Almost surely, 2629518066912 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 629518066912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726906537504).

629518066912 is an abundant number, since it is smaller than the sum of its proper divisors (824295008096).

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

629518066912 is a wasteful number, since it uses less digits than its factorization.

629518066912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5329 (or 5314 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 55.

The spelling of 629518066912 in words is "six hundred twenty-nine billion, five hundred eighteen million, sixty-six thousand, nine hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 157 196 224 314 392 557 628 784 1099 1114 1256 1568 2198 2228 2512 3899 4396 4456 4591 5024 7693 7798 8792 8912 9182 15386 15596 17584 17824 18364 27293 30772 31192 32137 35168 36728 54586 61544 62384 64274 73456 87449 109172 123088 124768 128548 146912 174898 218344 224959 246176 257096 349796 436688 449918 514192 612143 699592 720787 873376 899836 1028384 1224286 1399184 1441574 1799672 2448572 2557187 2798368 2883148 3599344 4285001 4897144 5045509 5114374 5766296 7198688 8570002 9794288 10091018 10228748 11532592 17140004 17900309 19588576 20182036 20457496 23065184 34280008 35318563 35800618 40364072 40914992 68560016 70637126 71601236 80728144 81829984 125302163 137120032 141274252 143202472 161456288 250604326 282548504 286404944 401478359 501208652 565097008 572809888 802956718 1002417304 1130194016 1605913436 2004834608 2810348513 3211826872 4009669216 5620697026 6423653744 11241394052 12847307488 19672439591 22482788104 39344879182 44965576208 78689758364 89931152416 157379516728 314759033456 629518066912