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47874195408 = 24313731397561
BaseRepresentation
bin101100100101100001…
…100011111111010000
311120120102202002221110
4230211201203333100
51241021243223113
633554302053320
73313236642504
oct544541437720
9146512662843
1047874195408
111933780a656
129340b7a240
13468c5186a0
142462288304
1513a2e31bc3
hexb25863fd0

47874195408 has 160 divisors (see below), whose sum is σ = 136002267520. Its totient is φ = 14422302720.

The previous prime is 47874195361. The next prime is 47874195449. The reversal of 47874195408 is 80459147874.

47874195408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6327948 + ... + 6335508.

It is an arithmetic number, because the mean of its divisors is an integer number (850014172).

Almost surely, 247874195408 is an apocalyptic number.

47874195408 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47874195408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68001133760).

47874195408 is an abundant number, since it is smaller than the sum of its proper divisors (88128072112).

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

47874195408 is a wasteful number, since it uses less digits than its factorization.

47874195408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7797 (or 7791 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 57.

The spelling of 47874195408 in words is "forty-seven billion, eight hundred seventy-four million, one hundred ninety-five thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 73 78 104 139 146 156 208 219 278 292 312 417 438 556 584 624 834 876 949 1112 1168 1668 1752 1807 1898 2224 2847 3336 3504 3614 3796 5421 5694 6672 7228 7561 7592 10147 10842 11388 14456 15122 15184 20294 21684 22683 22776 28912 30244 30441 40588 43368 45366 45552 60488 60882 81176 86736 90732 98293 120976 121764 131911 162352 181464 196586 243528 263822 294879 362928 393172 395733 487056 527644 551953 589758 786344 791466 1050979 1055288 1103906 1179516 1572688 1582932 1655859 2101958 2110576 2207812 2359032 3152937 3165864 3311718 4203916 4415624 4718064 6305874 6331728 6623436 7175389 8407832 8831248 12611748 13246872 13662727 14350778 16815664 21526167 25223496 26493744 27325454 28701556 40988181 43052334 50446992 54650908 57403112 76721467 81976362 86104668 109301816 114806224 153442934 163952724 172209336 218603632 230164401 306885868 327905448 344418672 460328802 613771736 655810896 920657604 997379071 1227543472 1841315208 1994758142 2992137213 3682630416 3989516284 5984274426 7979032568 11968548852 15958065136 23937097704 47874195408