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51146953936 = 24131918171503
BaseRepresentation
bin101111101000100110…
…001001010011010000
311220000112000110122021
4233220212021103100
51314222110011221
635255132421224
73460316635531
oct575046112320
9156015013567
1051146953936
111a767138571
129ab5017814
134a915804b0
142692bb2688
1514e5403041
hexbe89894d0

51146953936 has 80 divisors (see below), whose sum is σ = 112959159040. Its totient is φ = 22239982080.

The previous prime is 51146953901. The next prime is 51146953937. The reversal of 51146953936 is 63935964115.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51146953937) 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, 679561 + ... + 751063.

It is an arithmetic number, because the mean of its divisors is an integer number (1411989488).

Almost surely, 251146953936 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 51146953936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56479579520).

51146953936 is an abundant number, since it is smaller than the sum of its proper divisors (61812205104).

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

51146953936 is a wasteful number, since it uses less digits than its factorization.

51146953936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71724 (or 71718 counting only the distinct ones).

The product of its digits is 2624400, while the sum is 52.

The spelling of 51146953936 in words is "fifty-one billion, one hundred forty-six million, nine hundred fifty-three thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 104 152 181 208 247 304 362 494 724 988 1448 1976 2353 2896 3439 3952 4706 6878 9412 13756 18824 27512 37648 44707 55024 71503 89414 143006 178828 286012 357656 572024 715312 929539 1144048 1358557 1859078 2717114 3718156 5434228 7436312 10868456 12942043 14872624 17661241 21736912 25884086 35322482 51768172 70644964 103536344 141289928 168246559 207072688 245898817 282579856 336493118 491797634 672986236 983595268 1345972472 1967190536 2691944944 3196684621 3934381072 6393369242 12786738484 25573476968 51146953936