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51252444425216 = 2101732269127507
BaseRepresentation
bin10111010011101001000111…
…01111100110110000000000
320201110200111222022012202102
423221310203233212300000
523204210001233101331
6301001014204005532
713536603231402056
oct1351644357466000
9221420458265672
1051252444425216
1115370048803061
1258b9097b308a8
13227a11431c148
14c928bad681d6
155dd2d8ade4cb
hex2e9d23be6c00

51252444425216 has 88 divisors (see below), whose sum is σ = 103093285842480. Its totient is φ = 25466665254912.

The previous prime is 51252444425213. The next prime is 51252444425219. The reversal of 51252444425216 is 61252444425215.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (51252444425213) and next prime (51252444425219).

It is not an unprimeable number, because it can be changed into a prime (51252444425213) 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, 401894135 + ... + 402021641.

Almost surely, 251252444425216 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 51252444425216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51546642921240).

51252444425216 is an abundant number, since it is smaller than the sum of its proper divisors (51840841417264).

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

51252444425216 is a wasteful number, since it uses less digits than its factorization.

51252444425216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129969 (or 129951 counting only the distinct ones).

The product of its digits is 3072000, while the sum is 47.

Subtracting 51252444425216 from its reverse (61252444425215), we obtain a palindrome (9999999999999).

The spelling of 51252444425216 in words is "fifty-one trillion, two hundred fifty-two billion, four hundred forty-four million, four hundred twenty-five thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 173 256 346 512 692 1024 1384 2269 2768 4538 5536 9076 11072 18152 22144 36304 44288 72608 88576 127507 145216 177152 255014 290432 392537 510028 580864 785074 1020056 1161728 1570148 2040112 2323456 3140296 4080224 6280592 8160448 12561184 16320896 22058711 25122368 32641792 44117422 50244736 65283584 88234844 100489472 130567168 176469688 200978944 289313383 352939376 401957888 578626766 705878752 1157253532 1411757504 2314507064 2823515008 4629014128 5647030016 9258028256 11294060032 18516056512 22588120064 37032113024 50051215259 74064226048 100102430518 148128452096 200204861036 296256904192 400409722072 800819444144 1601638888288 3203277776576 6406555553152 12813111106304 25626222212608 51252444425216