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2206979937252 = 22356618534027
BaseRepresentation
bin100000000111011010010…
…000010101001111100100
321210222121020010002100000
4200013122100111033210
5242124343330443002
64405512251221300
7315310006641246
oct40073220251744
97728536102300
102206979937252
11780a7a703172
122b7889147830
1313016a98361c
1478b65988096
153c61e10661c
hex201da4153e4

2206979937252 has 144 divisors (see below), whose sum is σ = 5802361003712. Its totient is φ = 733503703680.

The previous prime is 2206979937247. The next prime is 2206979937269. The reversal of 2206979937252 is 2527399796022.

2206979937252 is a `hidden beast` number, since 2 + 206 + 9 + 7 + 9 + 9 + 372 + 52 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2206979937252.

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 47 ways as a sum of consecutive naturals, for example, 548043663 + ... + 548047689.

Almost surely, 22206979937252 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 2206979937252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2901180501856).

2206979937252 is an abundant number, since it is smaller than the sum of its proper divisors (3595381066460).

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

2206979937252 is a wasteful number, since it uses less digits than its factorization.

2206979937252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5560 (or 5546 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 63.

The spelling of 2206979937252 in words is "two trillion, two hundred six billion, nine hundred seventy-nine million, nine hundred thirty-seven thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 661 853 972 1322 1706 1983 2559 2644 3412 3966 4027 5118 5949 7677 7932 8054 10236 11898 12081 15354 16108 17847 23031 23796 24162 30708 35694 36243 46062 48324 53541 69093 71388 72486 92124 107082 108729 138186 144972 160623 207279 214164 217458 276372 321246 326187 414558 434916 563833 642492 652374 829116 978561 1127666 1304748 1691499 1957122 2255332 2661847 3382998 3435031 3914244 5074497 5323694 6765996 6870062 7985541 10148994 10305093 10647388 13740124 15223491 15971082 20297988 20610186 23956623 30446982 30915279 31942164 41220372 45670473 47913246 60893964 61830558 71869869 91340946 92745837 95826492 123661116 137011419 143739738 182681892 185491674 215609607 274022838 278237511 287479476 370983348 431219214 548045676 556475022 646828821 834712533 862438428 1112950044 1293657642 1669425066 2270555491 2587315284 3338850132 4541110982 6811666473 9082221964 13623332946 20434999419 27246665892 40869998838 61304998257 81739997676 122609996514 183914994771 245219993028 367829989542 551744984313 735659979084 1103489968626 2206979937252