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47871022256356 = 22132177177580409
BaseRepresentation
bin10101110001001110101110…
…10001101101000011100100
320021111102110211221011122111
422320213113101231003210
522233304323144200411
6245451351035410404
713040365362243655
oct1270472721550344
9207442424834574
1047871022256356
1114286a94083542
1254518845b3a04
1320932ab017700
14bb6d8135152c
1558037d949721
hex2b89d746d0e4

47871022256356 has 72 divisors (see below), whose sum is σ = 96063847152840. Its totient is φ = 20791718977536.

The previous prime is 47871022256353. The next prime is 47871022256359. The reversal of 47871022256356 is 65365222017874.

47871022256356 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (47871022256353) and next prime (47871022256359).

It can be written as a sum of positive squares in 12 ways, for example, as 119688321600 + 47751333934756 = 345960^2 + 6910234^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 47871022256356.

It is not an unprimeable number, because it can be changed into a prime (47871022256353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82187880 + ... + 82768288.

It is an arithmetic number, because the mean of its divisors is an integer number (1334220099345).

Almost surely, 247871022256356 is an apocalyptic number.

It is an amenable number.

47871022256356 is an abundant number, since it is smaller than the sum of its proper divisors (48192824896484).

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

47871022256356 is a wasteful number, since it uses less digits than its factorization.

47871022256356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587633 (or 587618 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 58.

The spelling of 47871022256356 in words is "forty-seven trillion, eight hundred seventy-one billion, twenty-two million, two hundred fifty-six thousand, three hundred fifty-six".

Divisors: 1 2 4 13 17 26 34 52 68 169 221 338 442 676 884 2873 5746 7177 11492 14354 28708 93301 122009 186602 244018 373204 488036 580409 1160818 1212913 1586117 2321636 2425826 3172234 4851652 6344468 7545317 9866953 15090634 19733906 20619521 30181268 39467812 41239042 82478084 98089121 128270389 196178242 256540778 392356484 513081556 1667515057 3335030114 4165595393 6670060228 8331190786 16662381572 54152740109 70815121681 108305480218 141630243362 216610960436 283260486724 703985621417 920596581853 1407971242834 1841193163706 2815942485668 3682386327412 11967755564089 23935511128178 47871022256356