Search a number
-
+
64157122752 = 2634111097349
BaseRepresentation
bin111011110000000100…
…000000000011000000
320010121012221112002120
4323300010000003000
52022343210412002
645250125444240
74430605355052
oct736004000300
9203535845076
1064157122752
11252330289a8
1210526110680
136085aa2838
143168a278d2
151a076b2cbc
hexef01000c0

64157122752 has 112 divisors (see below), whose sum is σ = 174069756000. Its totient is φ = 20842455040.

The previous prime is 64157122751. The next prime is 64157122753. The reversal of 64157122752 is 25722175146.

It is an interprime number because it is at equal distance from previous prime (64157122751) and next prime (64157122753).

It is a super-2 number, since 2×641571227522 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (64157122751) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8726374 + ... + 8733722.

It is an arithmetic number, because the mean of its divisors is an integer number (1554194250).

Almost surely, 264157122752 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 64157122752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87034878000).

64157122752 is an abundant number, since it is smaller than the sum of its proper divisors (109912633248).

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

64157122752 is a wasteful number, since it uses less digits than its factorization.

64157122752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8514 (or 8504 counting only the distinct ones).

The product of its digits is 235200, while the sum is 42.

Adding to 64157122752 its reverse (25722175146), we get a palindrome (89879297898).

The spelling of 64157122752 in words is "sixty-four billion, one hundred fifty-seven million, one hundred twenty-two thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 164 192 246 328 492 656 984 1109 1312 1968 2218 2624 3327 3936 4436 6654 7349 7872 8872 13308 14698 17744 22047 26616 29396 35488 44094 45469 53232 58792 70976 88188 90938 106464 117584 136407 176376 181876 212928 235168 272814 301309 352752 363752 470336 545628 602618 705504 727504 903927 1091256 1205236 1411008 1455008 1807854 2182512 2410472 2910016 3615708 4365024 4820944 7231416 8150041 8730048 9641888 14462832 16300082 19283776 24450123 28925664 32600164 48900246 57851328 65200328 97800492 130400656 195600984 260801312 334151681 391201968 521602624 668303362 782403936 1002455043 1336606724 1564807872 2004910086 2673213448 4009820172 5346426896 8019640344 10692853792 16039280688 21385707584 32078561376 64157122752