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21374400047454 = 233598389908197
BaseRepresentation
bin1001101110000100111011…
…00001011010100101011110
32210200101001200121222011000
410313002131201122211132
510300144232403004304
6113243132553011130
74334151362456526
oct467023541324536
983611050558130
1021374400047454
1168a0917663053
1224926033b3aa6
13bc079c2a429c
1453c75294a686
15270ee5814939
hex13709d85a95e

21374400047454 has 128 divisors (see below), whose sum is σ = 49435033536000. Its totient is φ = 6841898198784.

The previous prime is 21374400047417. The next prime is 21374400047479. The reversal of 21374400047454 is 45474000447312.

21374400047454 is a `hidden beast` number, since 2 + 137 + 4 + 40 + 0 + 0 + 474 + 5 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 23080884 + ... + 23989080.

It is an arithmetic number, because the mean of its divisors is an integer number (386211199500).

Almost surely, 221374400047454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21374400047454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24717516768000).

21374400047454 is an abundant number, since it is smaller than the sum of its proper divisors (28060633488546).

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

21374400047454 is a wasteful number, since it uses less digits than its factorization.

21374400047454 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908439 (or 908433 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 45.

The spelling of 21374400047454 in words is "twenty-one trillion, three hundred seventy-four billion, four hundred million, forty-seven thousand, four hundred fifty-four".

Divisors: 1 2 3 6 9 18 27 54 59 83 89 118 166 177 178 249 267 354 498 531 534 747 801 1062 1494 1593 1602 2241 2403 3186 4482 4806 4897 5251 7387 9794 10502 14691 14774 15753 22161 29382 31506 44073 44322 47259 66483 88146 94518 132219 132966 141777 199449 264438 283554 398898 435833 871666 908197 1307499 1816394 2614998 2724591 3922497 5449182 7844994 8173773 11767491 16347546 23534982 24521319 49042638 53583623 75380351 80829533 107167246 150760702 160750869 161659066 226141053 242488599 321501738 452282106 482252607 484977198 678423159 727465797 964505214 1356846318 1446757821 1454931594 2035269477 2182397391 2893515642 4070538954 4364794782 4447440709 4768942447 6708851239 8894881418 9537884894 13342322127 13417702478 14306827341 20126553717 26684644254 28613654682 40026966381 40253107434 42920482023 60379661151 80053932762 85840964046 120080899143 120759322302 128761446069 181138983453 240161798286 257522892138 362277966906 395822223101 791644446202 1187466669303 2374933338606 3562400007909 7124800015818 10687200023727 21374400047454