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51742249856 = 2711220716651
BaseRepresentation
bin110000001100000101…
…000001001110000000
311221120000011122010022
4300030011001032000
51321432003443411
635434155553012
73511135603253
oct601405011600
9157500148108
1051742249856
111aa42173170
12a04045b768
134b579bcbbb
14270bc9309a
15152c7e1edb
hexc0c141380

51742249856 has 64 divisors (see below), whose sum is σ = 112508904960. Its totient is φ = 23507136000.

The previous prime is 51742249843. The next prime is 51742249927. The reversal of 51742249856 is 65894224715.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 51742249798 and 51742249807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3099131 + ... + 3115781.

It is an arithmetic number, because the mean of its divisors is an integer number (1757951640).

Almost surely, 251742249856 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 51742249856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56254452480).

51742249856 is an abundant number, since it is smaller than the sum of its proper divisors (60766655104).

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

51742249856 is a wasteful number, since it uses less digits than its factorization.

51742249856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18883 (or 18871 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 53.

The spelling of 51742249856 in words is "fifty-one billion, seven hundred forty-two million, two hundred forty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1408 2207 4414 8828 16651 17656 24277 33302 35312 48554 66604 70624 97108 133208 141248 183161 194216 266416 282496 366322 388432 532832 732644 776864 1065664 1465288 1553728 2131328 2930576 3107456 5861152 11722304 23444608 36748757 73497514 146995028 293990056 404236327 587980112 808472654 1175960224 1616945308 2351920448 3233890616 4703840896 6467781232 12935562464 25871124928 51742249856