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51648208896 = 213319110609
BaseRepresentation
bin110000000110011110…
…010010000000000000
311221022110012212011210
4300012132102000000
51321233420141041
635421000210120
73505614350334
oct600636220000
9157273185153
1051648208896
111a9a4081869
12a014a69940
134b4138486b
1426dd5b37c4
151524418016
hexc06792000

51648208896 has 112 divisors (see below), whose sum is σ = 144969890400. Its totient is φ = 16309813248.

The previous prime is 51648208873. The next prime is 51648208919. The reversal of 51648208896 is 69880284615.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (51648208873) and next prime (51648208919).

It is a Harshad number since it is a multiple of its sum of digits (57).

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, 411640 + ... + 522248.

Almost surely, 251648208896 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 51648208896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72484945200).

51648208896 is an abundant number, since it is smaller than the sum of its proper divisors (93321681504).

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

51648208896 is a wasteful number, since it uses less digits than its factorization.

51648208896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110657 (or 110633 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 57.

The spelling of 51648208896 in words is "fifty-one billion, six hundred forty-eight million, two hundred eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 512 608 768 912 1024 1216 1536 1824 2048 2432 3072 3648 4096 4864 6144 7296 8192 9728 12288 14592 19456 24576 29184 38912 58368 77824 110609 116736 155648 221218 233472 331827 442436 466944 663654 884872 1327308 1769744 2101571 2654616 3539488 4203142 5309232 6304713 7078976 8406284 10618464 12609426 14157952 16812568 21236928 25218852 28315904 33625136 42473856 50437704 56631808 67250272 84947712 100875408 113263616 134500544 169895424 201750816 226527232 269001088 339790848 403501632 453054464 538002176 679581696 807003264 906108928 1076004352 1359163392 1614006528 2152008704 2718326784 3228013056 4304017408 6456026112 8608034816 12912052224 17216069632 25824104448 51648208896