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47374134336 = 263430232
BaseRepresentation
bin101100000111101101…
…111110110001000000
311112021120210101010000
4230013231332301000
51234010234244321
633432520040000
73264655332504
oct540755766100
9145246711100
1047374134336
1119100511341
129221603000
13460ca41869
142415ab8304
1513740a5826
hexb07b7ec40

47374134336 has 105 divisors (see below), whose sum is σ = 140478244951. Its totient is φ = 15786154368.

The previous prime is 47374134307. The next prime is 47374134377. The reversal of 47374134336 is 63343147374.

It is a happy number.

The square root of 47374134336 is 217656.

It is a perfect power (a square), and thus also a powerful number.

47374134336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×473741343363 (a number of 33 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 47374134291 and 47374134300.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 15669721 + ... + 15672743.

Almost surely, 247374134336 is an apocalyptic number.

47374134336 is the 217656-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47374134336

47374134336 is an abundant number, since it is smaller than the sum of its proper divisors (93104110615).

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

47374134336 is an frugal number, since it uses more digits than its factorization.

47374134336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6070 (or 3028 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 45.

The spelling of 47374134336 in words is "forty-seven billion, three hundred seventy-four million, one hundred thirty-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 3023 5184 6046 9069 12092 18138 24184 27207 36276 48368 54414 72552 81621 96736 108828 145104 163242 193472 217656 244863 290208 326484 435312 489726 580416 652968 870624 979452 1305936 1741248 1958904 2611872 3917808 5223744 7835616 9138529 15671232 18277058 27415587 36554116 54831174 73108232 82246761 109662348 146216464 164493522 219324696 246740283 292432928 328987044 438649392 493480566 584865856 657974088 740220849 877298784 986961132 1315948176 1480441698 1754597568 1973922264 2631896352 2960883396 3947844528 5263792704 5921766792 7895689056 11843533584 15791378112 23687067168 47374134336