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46344238896 = 24310713168881
BaseRepresentation
bin101011001010010101…
…001111011100110000
311102121210212021011110
4223022111033130300
51224403111121041
633142405513320
73230311350054
oct531225173460
9142553767143
1046344238896
111872212968a
128b94712840
1344a7568187
142358dc7c64
15131396b516
hexaca54f730

46344238896 has 80 divisors (see below), whose sum is σ = 121765742208. Its totient is φ = 15186662400.

The previous prime is 46344238879. The next prime is 46344238903. The reversal of 46344238896 is 69883244364.

46344238896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 638376 + ... + 707256.

Almost surely, 246344238896 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 46344238896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60882871104).

46344238896 is an abundant number, since it is smaller than the sum of its proper divisors (75421503312).

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

46344238896 is a wasteful number, since it uses less digits than its factorization.

46344238896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69130 (or 69124 counting only the distinct ones).

The product of its digits is 23887872, while the sum is 57.

The spelling of 46344238896 in words is "forty-six billion, three hundred forty-four million, two hundred thirty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 107 131 214 262 321 393 428 524 642 786 856 1048 1284 1572 1712 2096 2568 3144 5136 6288 14017 28034 42051 56068 68881 84102 112136 137762 168204 206643 224272 275524 336408 413286 551048 672816 826572 1102096 1653144 3306288 7370267 9023411 14740534 18046822 22110801 27070233 29481068 36093644 44221602 54140466 58962136 72187288 88443204 108280932 117924272 144374576 176886408 216561864 353772816 433123728 965504977 1931009954 2896514931 3862019908 5793029862 7724039816 11586059724 15448079632 23172119448 46344238896