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47201011088 = 24711172977713
BaseRepresentation
bin101011111101011001…
…100100010110010000
311111211112000210122212
4223331121210112100
51233131424323323
633403413251252
73260453655140
oct537531442620
9144745023585
1047201011088
1119021816280
129193633b28
1345b2c07a7a
1423daad0920
151363ca9b78
hexafd664590

47201011088 has 160 divisors (see below), whose sum is σ = 124889506560. Its totient is φ = 16711188480.

The previous prime is 47201011061. The next prime is 47201011097. The reversal of 47201011088 is 88011010274.

47201011088 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 31 ways as a sum of consecutive naturals, for example, 568520 + ... + 646232.

It is an arithmetic number, because the mean of its divisors is an integer number (780559416).

Almost surely, 247201011088 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 47201011088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62444753280).

47201011088 is an abundant number, since it is smaller than the sum of its proper divisors (77688495472).

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

47201011088 is a wasteful number, since it uses less digits than its factorization.

47201011088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77785 (or 77779 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 32.

The spelling of 47201011088 in words is "forty-seven billion, two hundred one million, eleven thousand, eighty-eight".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 29 34 44 56 58 68 77 88 112 116 119 136 154 176 187 203 232 238 272 308 319 374 406 464 476 493 616 638 748 812 952 986 1232 1276 1309 1496 1624 1904 1972 2233 2552 2618 2992 3248 3451 3944 4466 5104 5236 5423 6902 7888 8932 10472 10846 13804 17864 20944 21692 27608 35728 37961 43384 55216 75922 77713 86768 151844 155426 303688 310852 543991 607376 621704 854843 1087982 1243408 1321121 1709686 2175964 2253677 2642242 3419372 4351928 4507354 5284484 5983901 6838744 8703856 9014708 9247847 10568968 11967802 13677488 14532331 15775739 18029416 18495694 21137936 23935604 24790447 29064662 31551478 36058832 36991388 38312509 47871208 49580894 58129324 63102956 73982776 76625018 95742416 99161788 101726317 116258648 126205912 147965552 153250036 173533129 198323576 203452634 232517296 252411824 268187563 306500072 347066258 396647152 406905268 421437599 536375126 613000144 694132516 813810536 842875198 1072750252 1388265032 1627621072 1685750396 2145500504 2776530064 2950063193 3371500792 4291001008 5900126386 6743001584 11800252772 23600505544 47201011088