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52972133632 = 2811151124577
BaseRepresentation
bin110001010101011000…
…101001110100000000
312001201201102012111021
4301111120221310000
51331441331234012
640200212355224
73553461464245
oct612530516400
9161651365437
1052972133632
1120513430040
12a324315b14
134cc2748492
1427c73615cc
1515a0782007
hexc55629d00

52972133632 has 72 divisors (see below), whose sum is σ = 116114668992. Its totient is φ = 23918592000.

The previous prime is 52972133609. The next prime is 52972133639. The reversal of 52972133632 is 23633127925.

It is a super-2 number, since 2×529721336322 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52972133639) 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, 362928 + ... + 487504.

It is an arithmetic number, because the mean of its divisors is an integer number (1612703736).

Almost surely, 252972133632 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 52972133632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58057334496).

52972133632 is an abundant number, since it is smaller than the sum of its proper divisors (63142535360).

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

52972133632 is a wasteful number, since it uses less digits than its factorization.

52972133632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124755 (or 124741 counting only the distinct ones).

The product of its digits is 408240, while the sum is 43.

The spelling of 52972133632 in words is "fifty-two billion, nine hundred seventy-two million, one hundred thirty-three thousand, six hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 151 176 256 302 352 604 704 1208 1408 1661 2416 2816 3322 4832 6644 9664 13288 19328 26576 38656 53152 106304 124577 212608 249154 425216 498308 996616 1370347 1993232 2740694 3986464 5481388 7972928 10962776 15945856 18811127 21925552 31891712 37622254 43851104 75244508 87702208 150489016 175404416 206922397 300978032 350808832 413844794 601956064 827689588 1203912128 1655379176 2407824256 3310758352 4815648512 6621516704 13243033408 26486066816 52972133632