Search a number
-
+
625083528848 = 241741172132569
BaseRepresentation
bin10010001100010011110…
…00011011011010010000
32012202110010221100100012
421012021320123122100
540220132340410343
61155054233214052
763106103220512
oct11061170333220
92182403840305
10625083528848
112211073a1029
12a118b261328
1346c3958b37c
142237b771bb2
15113d703e718
hex9189e1b690

625083528848 has 80 divisors (see below), whose sum is σ = 1314420715440. Its totient is φ = 286806835200.

The previous prime is 625083528841. The next prime is 625083528851. The reversal of 625083528848 is 848825380526.

It can be written as a sum of positive squares in 8 ways, for example, as 58393755904 + 566689772944 = 241648^2 + 752788^2 .

It is not an unprimeable number, because it can be changed into a prime (625083528841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19176308 + ... + 19208876.

It is an arithmetic number, because the mean of its divisors is an integer number (16430258943).

Almost surely, 2625083528848 is an apocalyptic number.

625083528848 is a gapful number since it is divisible by the number (68) 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 625083528848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657210357720).

625083528848 is an abundant number, since it is smaller than the sum of its proper divisors (689337186592).

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

625083528848 is a wasteful number, since it uses less digits than its factorization.

625083528848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34356 (or 34350 counting only the distinct ones).

The product of its (nonzero) digits is 29491200, while the sum is 59.

The spelling of 625083528848 in words is "six hundred twenty-five billion, eighty-three million, five hundred twenty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 17 34 41 68 82 136 164 272 328 656 697 1394 1721 2788 3442 5576 6884 11152 13768 27536 29257 32569 58514 65138 70561 117028 130276 141122 234056 260552 282244 468112 521104 553673 564488 1107346 1128976 1199537 1335329 2214692 2399074 2670658 4429384 4798148 5341316 8858768 9596296 10682632 19192592 21365264 22700593 45401186 56051249 90802372 112102498 181604744 224204996 363209488 448409992 896819984 952871233 1905742466 2298101209 3811484932 4596202418 7622969864 9192404836 15245939728 18384809672 36769619344 39067720553 78135441106 156270882212 312541764424 625083528848