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21373530534252 = 223213883129140063
BaseRepresentation
bin1001101110000011010011…
…01100011111000101101100
32210200021211002111010021100
410313001221230133011230
510300140442304044002
6113242510412203100
74334121003644601
oct467015154370554
983607732433240
1021373530534252
1168a05108639a6
122492400169490
13bc06910c3330
1453c6ad2886a8
15270e9430b11c
hex137069b1f16c

21373530534252 has 144 divisors (see below), whose sum is σ = 58295967428608. Its totient is φ = 6563770899840.

The previous prime is 21373530534197. The next prime is 21373530534253. The reversal of 21373530534252 is 25243503537312.

21373530534252 is a `hidden beast` number, since 2 + 1 + 3 + 7 + 35 + 30 + 534 + 2 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 21373530534198 and 21373530534207.

It is not an unprimeable number, because it can be changed into a prime (21373530534253) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 533477973 + ... + 533518035.

Almost surely, 221373530534252 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 21373530534252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29147983714304).

21373530534252 is an abundant number, since it is smaller than the sum of its proper divisors (36922436894356).

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

21373530534252 is a wasteful number, since it uses less digits than its factorization.

21373530534252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42260 (or 42255 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 45.

The spelling of 21373530534252 in words is "twenty-one trillion, three hundred seventy-three billion, five hundred thirty million, five hundred thirty-four thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 883 1291 1766 2582 2649 3532 3873 5164 5298 7746 7947 10596 11479 11619 15492 15894 16783 22958 23238 31788 33566 34437 40063 45916 46476 50349 67132 68874 80126 100698 103311 120189 137748 151047 160252 201396 206622 240378 302094 360567 413244 480756 520819 604188 721134 1041638 1139953 1442268 1562457 2083276 2279906 3124914 3419859 4559812 4687371 6249828 6839718 9374742 10259577 13679436 14819389 18749484 20519154 29638778 35375629 41038308 44458167 51721333 59277556 70751258 88916334 103442666 106126887 133374501 141502516 155163999 177832668 206885332 212253774 266749002 310327998 318380661 424507548 459883177 465491997 533498004 620655996 636761322 672377329 919766354 930983994 1273522644 1344754658 1379649531 1839532708 1861967988 2017131987 2689509316 2759299062 4034263974 4138948593 5518598124 6051395961 8068527948 8277897186 12102791922 16555794372 24205583844 45669937039 91339874078 137009811117 182679748156 274019622234 411029433351 548039244468 593709181507 822058866702 1187418363014 1644117733404 1781127544521 2374836726028 3562255089042 5343382633563 7124510178084 10686765267126 21373530534252