Search a number
-
+
70057252352 = 291941175649
BaseRepresentation
bin100000100111110111…
…1001101011000000000
320200211102002011100002
41001033233031120000
52121434124033402
652103414015132
75030040551063
oct1011757153000
9220742064302
1070057252352
112779054666a
12116b20474a8
1367b6271a99
14356847a8da
151c5066e602
hex104fbcd600

70057252352 has 80 divisors (see below), whose sum is σ = 150939558000. Its totient is φ = 32375439360.

The previous prime is 70057252351. The next prime is 70057252357. The reversal of 70057252352 is 25325275007.

It is a super-2 number, since 2×700572523522 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70057252351) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 311024 + ... + 486672.

It is an arithmetic number, because the mean of its divisors is an integer number (1886744475).

Almost surely, 270057252352 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 70057252352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75469779000).

70057252352 is an abundant number, since it is smaller than the sum of its proper divisors (80882305648).

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

70057252352 is a wasteful number, since it uses less digits than its factorization.

70057252352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175727 (or 175711 counting only the distinct ones).

The product of its (nonzero) digits is 147000, while the sum is 38.

The spelling of 70057252352 in words is "seventy billion, fifty-seven million, two hundred fifty-two thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 19 32 38 41 64 76 82 128 152 164 256 304 328 512 608 656 779 1216 1312 1558 2432 2624 3116 4864 5248 6232 9728 10496 12464 20992 24928 49856 99712 175649 199424 351298 398848 702596 1405192 2810384 3337331 5620768 6674662 7201609 11241536 13349324 14403218 22483072 26698648 28806436 44966144 53397296 57612872 89932288 106794592 115225744 136830571 213589184 230451488 273661142 427178368 460902976 547322284 854356736 921805952 1094644568 1708713472 1843611904 2189289136 3687223808 4378578272 8757156544 17514313088 35028626176 70057252352