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21919537332 = 2234711878609
BaseRepresentation
bin10100011010100000…
…011001100010110100
32002120121110212110000
4110122200121202310
5324342400143312
614023015431300
71404120664440
oct243240314264
962517425400
1021919537332
119329009910
1242b8985530
1320b428c144
1410bd1d7820
15884537adc
hex51a8198b4

21919537332 has 120 divisors (see below), whose sum is σ = 71441536320. Its totient is φ = 5693379840.

The previous prime is 21919537331. The next prime is 21919537411. The reversal of 21919537332 is 23373591912.

21919537332 is a `hidden beast` number, since 2 + 191 + 95 + 373 + 3 + 2 = 666.

It is a super-2 number, since 2×219195373322 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21919537331) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 414357 + ... + 464252.

It is an arithmetic number, because the mean of its divisors is an integer number (595346136).

Almost surely, 221919537332 is an apocalyptic number.

21919537332 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21919537332 is an abundant number, since it is smaller than the sum of its proper divisors (49521998988).

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

21919537332 is a wasteful number, since it uses less digits than its factorization.

21919537332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878643 (or 878632 counting only the distinct ones).

The product of its digits is 306180, while the sum is 45.

The spelling of 21919537332 in words is "twenty-one billion, nine hundred nineteen million, five hundred thirty-seven thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 81 84 99 108 126 132 154 162 189 198 231 252 297 308 324 378 396 462 567 594 693 756 891 924 1134 1188 1386 1782 2079 2268 2772 3564 4158 6237 8316 12474 24948 878609 1757218 2635827 3514436 5271654 6150263 7907481 9664699 10543308 12300526 15814962 18450789 19329398 23722443 24601052 28994097 31629924 36901578 38658796 47444886 55352367 57988194 67652893 71167329 73803156 86982291 94889772 110704734 115976388 135305786 142334658 166057101 173964582 202958679 221409468 260946873 270611572 284669316 332114202 347929164 405917358 498171303 521893746 608876037 664228404 782840619 811834716 996342606 1043787492 1217752074 1565681238 1826628111 1992685212 2435504148 3131362476 3653256222 5479884333 7306512444 10959768666 21919537332