Search a number
-
+
21668038131852 = 22327146275878463
BaseRepresentation
bin1001110110100111110111…
…01101110100000010001100
32211201102222211111012100100
410323103323231310002030
510320002120230204402
6114030054224131100
74364315120141250
oct473237355640214
984642884435310
1021668038131852
1169a43aa705a62
12251b4b2166a90
13c1239706b498
1454ca4ab90260
1527897e6eb71c
hex13b4fbb7408c

21668038131852 has 72 divisors (see below), whose sum is σ = 62600844773376. Its totient is φ = 6190443735264.

The previous prime is 21668038131847. The next prime is 21668038131863. The reversal of 21668038131852 is 25813183086612.

21668038131852 is a `hidden beast` number, since 2 + 1 + 6 + 6 + 80 + 381 + 3 + 185 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 746773 + ... + 6625235.

It is an arithmetic number, because the mean of its divisors is an integer number (869456177408).

Almost surely, 221668038131852 is an apocalyptic number.

It is an amenable number.

21668038131852 is an abundant number, since it is smaller than the sum of its proper divisors (40932806641524).

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

21668038131852 is a wasteful number, since it uses less digits than its factorization.

21668038131852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5893107 (or 5893102 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 21668038131852 in words is "twenty-one trillion, six hundred sixty-eight billion, thirty-eight million, one hundred thirty-one thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 14627 29254 43881 58508 87762 102389 131643 175524 204778 263286 307167 409556 526572 614334 921501 1228668 1843002 3686004 5878463 11756926 17635389 23513852 35270778 41149241 52906167 70541556 82298482 105812334 123447723 164596964 211624668 246895446 370343169 493790892 740686338 1481372676 85984278301 171968556602 257952834903 343937113204 515905669806 601889948107 773858504709 1031811339612 1203779896214 1547717009418 1805669844321 2407559792428 3095434018836 3611339688642 5417009532963 7222679377284 10834019065926 21668038131852