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22676430004452 = 223272332291211653
BaseRepresentation
bin1010010011111110001001…
…00011100010000011100100
32222021211211101200220212200
411021333010203202003210
510433012312040120302
6120121224053414500
74530214034502210
oct511770443420344
988254741626780
1022676430004452
117253024622a54
122662a1663a430
13c864bbb042c3
1458578b94b940
15294ceca6881c
hex149fc48e20e4

22676430004452 has 144 divisors (see below), whose sum is σ = 68379160362240. Its totient is φ = 6195360847104.

The previous prime is 22676430004447. The next prime is 22676430004463. The reversal of 22676430004452 is 25440003467622.

22676430004452 is a `hidden beast` number, since 226 + 76 + 4 + 300 + 0 + 4 + 4 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 22676430004398 and 22676430004407.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18109458 + ... + 19321110.

Almost surely, 222676430004452 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 22676430004452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34189580181120).

22676430004452 is an abundant number, since it is smaller than the sum of its proper divisors (45702730357788).

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

22676430004452 is a wasteful number, since it uses less digits than its factorization.

22676430004452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1214922 (or 1214917 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 45.

The spelling of 22676430004452 in words is "twenty-two trillion, six hundred seventy-six billion, four hundred thirty million, four thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 84 92 126 138 161 207 252 276 322 414 483 644 828 966 1449 1932 2898 3229 5796 6458 9687 12916 19374 22603 29061 38748 45206 58122 67809 74267 90412 116244 135618 148534 203427 222801 271236 297068 406854 445602 519869 668403 813708 891204 1039738 1211653 1336806 1559607 2079476 2423306 2673612 3119214 3634959 4678821 4846612 6238428 7269918 8481571 9357642 10904877 14539836 16963142 18715284 21809754 25444713 27868019 33926284 43619508 50889426 55736038 76334139 83604057 101778852 111472076 152668278 167208114 195076133 250812171 305336556 334416228 390152266 501624342 585228399 780304532 1003248684 1170456798 1755685197 2340913596 3511370394 3912427537 7022740788 7824855074 11737282611 15649710148 23474565222 27386992759 35211847833 46949130444 54773985518 70423695666 82160978277 89985833351 109547971036 140847391332 164321956554 179971666702 246482934831 269957500053 328643913108 359943333404 492965869662 539915000106 629900833457 809872500159 985931739324 1079830000212 1259801666914 1619745000318 1889702500371 2519603333828 3239490000636 3779405000742 5669107501113 7558810001484 11338215002226 22676430004452