Search a number
-
+
51020276472 = 233211241267301
BaseRepresentation
bin101111100001000010…
…111010001011111000
311212200200122120211100
4233201002322023320
51313442142321342
635234405331400
73454221123504
oct574102721370
9155620576740
1051020276472
111a701685950
129a7a706b60
134a71259109
142680039304
1514d922de4c
hexbe10ba2f8

51020276472 has 96 divisors (see below), whose sum is σ = 151367776560. Its totient is φ = 15396480000.

The previous prime is 51020276441. The next prime is 51020276521. The reversal of 51020276472 is 27467202015.

It is a happy number.

51020276472 is a `hidden beast` number, since 5 + 1 + 0 + 2 + 0 + 2 + 7 + 647 + 2 = 666.

51020276472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×510202764722 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 57222 + ... + 324522.

Almost surely, 251020276472 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 51020276472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75683888280).

51020276472 is an abundant number, since it is smaller than the sum of its proper divisors (100347500088).

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

51020276472 is a wasteful number, since it uses less digits than its factorization.

51020276472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267565 (or 267558 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

Adding to 51020276472 its reverse (27467202015), we get a palindrome (78487478487).

The spelling of 51020276472 in words is "fifty-one billion, twenty million, two hundred seventy-six thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 241 264 396 482 723 792 964 1446 1928 2169 2651 2892 4338 5302 5784 7953 8676 10604 15906 17352 21208 23859 31812 47718 63624 95436 190872 267301 534602 801903 1069204 1603806 2138408 2405709 2940311 3207612 4811418 5880622 6415224 8820933 9622836 11761244 17641866 19245672 23522488 26462799 35283732 52925598 64419541 70567464 105851196 128839082 193258623 211702392 257678164 386517246 515356328 579775869 708614951 773034492 1159551738 1417229902 1546068984 2125844853 2319103476 2834459804 4251689706 4638206952 5668919608 6377534559 8503379412 12755069118 17006758824 25510138236 51020276472