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21342333432 = 23379710112967
BaseRepresentation
bin10011111000000110…
…100010100111111000
32001002101100212112210
4103320012202213320
5322202114132212
613445440135120
71353611561310
oct237006424770
961071325483
1021342333432
119062210aa2
1241776074a0
132021815584
1410666a6440
1584da1e53c
hex4f81a29f8

21342333432 has 128 divisors (see below), whose sum is σ = 62221501440. Its totient is φ = 5974732800.

The previous prime is 21342333421. The next prime is 21342333469. The reversal of 21342333432 is 23433324312.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 21342333432.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1639413 + ... + 1652379.

It is an arithmetic number, because the mean of its divisors is an integer number (486105480).

Almost surely, 221342333432 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 21342333432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31110750720).

21342333432 is an abundant number, since it is smaller than the sum of its proper divisors (40879168008).

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

21342333432 is a wasteful number, since it uses less digits than its factorization.

21342333432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13181 (or 13177 counting only the distinct ones).

The product of its digits is 31104, while the sum is 30.

Adding to 21342333432 its reverse (23433324312), we get a palindrome (44775657744).

The spelling of 21342333432 in words is "twenty-one billion, three hundred forty-two million, three hundred thirty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 97 101 168 194 202 291 303 388 404 582 606 679 707 776 808 1164 1212 1358 1414 2037 2121 2328 2424 2716 2828 4074 4242 5432 5656 8148 8484 9797 12967 16296 16968 19594 25934 29391 38901 39188 51868 58782 68579 77802 78376 90769 103736 117564 137158 155604 181538 205737 235128 272307 274316 311208 363076 411474 544614 548632 726152 822948 1089228 1257799 1309667 1645896 2178456 2515598 2619334 3773397 3929001 5031196 5238668 7546794 7858002 8804593 9167669 10062392 10477336 15093588 15716004 17609186 18335338 26413779 27503007 30187176 31432008 35218372 36670676 52827558 55006014 70436744 73341352 105655116 110012028 127037699 211310232 220024056 254075398 381113097 508150796 762226194 889263893 1016301592 1524452388 1778527786 2667791679 3048904776 3557055572 5335583358 7114111144 10671166716 21342333432