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21604077088 = 2511172534007
BaseRepresentation
bin10100000111101101…
…000000111000100000
32001202121212211100021
4110013231000320200
5323221120431323
613531430203224
71363240424326
oct240755007040
961677784307
1021604077088
119186a35970
12422b1b3514
132063b0a389
14108d35bd16
158669c305d
hex507b40e20

21604077088 has 144 divisors (see below), whose sum is σ = 50232135744. Its totient is φ = 9065738240.

The previous prime is 21604077083. The next prime is 21604077127. The reversal of 21604077088 is 88077040612.

It is a super-2 number, since 2×216040770882 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21604077083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5389581 + ... + 5393587.

It is an arithmetic number, because the mean of its divisors is an integer number (348834276).

Almost surely, 221604077088 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 21604077088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25116067872).

21604077088 is an abundant number, since it is smaller than the sum of its proper divisors (28628058656).

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

21604077088 is a wasteful number, since it uses less digits than its factorization.

21604077088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4115 (or 4090 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 43.

The spelling of 21604077088 in words is "twenty-one billion, six hundred four million, seventy-seven thousand, eighty-eight".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 53 68 88 106 136 176 187 212 272 289 352 374 424 544 578 583 748 848 901 1156 1166 1496 1696 1802 2312 2332 2992 3179 3604 4007 4624 4664 5984 6358 7208 8014 9248 9328 9911 12716 14416 15317 16028 18656 19822 25432 28832 30634 32056 39644 44077 50864 61268 64112 68119 79288 88154 101728 122536 128224 136238 158576 168487 176308 212371 245072 272476 317152 336974 352616 424742 490144 544952 673948 705232 749309 849484 1089904 1158023 1347896 1410464 1498618 1698968 2179808 2316046 2336081 2695792 2997236 3397936 3610307 4632092 4672162 5391584 5994472 6795872 7220614 9264184 9344324 11988944 12738253 14441228 18528368 18688648 23977888 25476506 28882456 37056736 37377296 39713377 50953012 57764912 61375219 74754592 79426754 101906024 115529824 122750438 158853508 203812048 245500876 317707016 407624096 491001752 635414032 675127409 982003504 1270828064 1350254818 1964007008 2700509636 5401019272 10802038544 21604077088