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2690971214724 = 2232132210312
BaseRepresentation
bin100111001010001010011…
…000100010001110000100
3100112020212102002102201100
4213022022120202032010
5323042102112332344
65420114244100100
7365262526631322
oct47121230421604
910466772072640
102690971214724
11948264108471
12375640994630
131669b02b2c00
149435aa08d12
1549ee95be569
hex2728a622384

2690971214724 has 81 divisors (see below), whose sum is σ = 7366021455429. Its totient is φ = 827951772960.

The previous prime is 2690971214717. The next prime is 2690971214797. The reversal of 2690971214724 is 4274121790962.

The square root of 2690971214724 is 1640418.

It is a perfect power (a square), and thus also a powerful number.

2690971214724 is a `hidden beast` number, since 2 + 69 + 0 + 97 + 1 + 21 + 472 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 398072664900 + 2292898549824 = 630930^2 + 1514232^2 .

It is a super-2 number, since 2×26909712147242 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 127942089 + ... + 127963119.

Almost surely, 22690971214724 is an apocalyptic number.

2690971214724 is the 1640418-th square number.

It is an amenable number.

2690971214724 is an abundant number, since it is smaller than the sum of its proper divisors (4675050240705).

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

2690971214724 is an equidigital number, since it uses as much as digits as its factorization.

2690971214724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42098 (or 21049 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 2690971214724 in words is "two trillion, six hundred ninety billion, nine hundred seventy-one million, two hundred fourteen thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 676 1014 1521 2028 3042 6084 21031 42062 63093 84124 126186 189279 252372 273403 378558 546806 757116 820209 1093612 1640418 2460627 3280836 3554239 4921254 7108478 9842508 10662717 14216956 21325434 31988151 42650868 63976302 127952604 442302961 884605922 1326908883 1769211844 2653817766 3980726649 5307635532 5749938493 7961453298 11499876986 15922906596 17249815479 22999753972 34499630958 51749446437 68999261916 74749200409 103498892874 149498400818 206997785748 224247601227 298996801636 448495202454 672742803681 896990404908 1345485607362 2690971214724