Search a number
-
+
74910305945476 = 2217283230672
BaseRepresentation
bin10001000010000101101010…
…001011010000011110000100
3100211020100121000112211101101
4101002011222023100132010
534304312301310223401
6423153153001105444
721531043133353021
oct2102055213203604
9324210530484341
1074910305945476
11219613118869a1
12849a151a88284
1332a501c478a11
14146d96cbd0548
1589d8c7b71101
hex44216a2d0784

74910305945476 has 81 divisors (see below), whose sum is σ = 141001995225189. Its totient is φ = 34815831431808.

The previous prime is 74910305945443. The next prime is 74910305945533. The reversal of 74910305945476 is 67454950301947.

It is a happy number.

The square root of 74910305945476 is 8655074.

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

It can be written as a sum of positive squares in only one way, i.e., 58321172448900 + 16589133496576 = 7636830^2 + 4072976^2 .

It is a super-2 number, since 2×749103059454762 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

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 26 ways as a sum of consecutive naturals, for example, 24424617295 + ... + 24424620361.

Almost surely, 274910305945476 is an apocalyptic number.

74910305945476 is the 8655074-th square number.

It is an amenable number.

74910305945476 is a deficient number, since it is larger than the sum of its proper divisors (66091689279713).

74910305945476 is an frugal number, since it uses more digits than its factorization.

74910305945476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6338 (or 3169 counting only the distinct ones).

The product of its (nonzero) digits is 114307200, while the sum is 64.

The spelling of 74910305945476 in words is "seventy-four trillion, nine hundred ten billion, three hundred five million, nine hundred forty-five thousand, four hundred seventy-six".

Divisors: 1 2 4 17 34 68 83 166 289 332 578 1156 1411 2822 3067 5644 6134 6889 12268 13778 23987 27556 47974 52139 95948 104278 117113 208556 234226 254561 468452 509122 886363 1018244 1772726 1990921 3545452 3981842 4327537 7963684 8655074 9406489 17310148 18812978 21128563 37625956 42257126 73568129 84514252 147136258 159910313 294272516 319820626 359185571 639641252 718371142 780738587 1436742284 1561477174 2718475321 3122954348 5436950642 6106154707 10873901284 12212309414 13272555979 24424618828 26545111958 53090223916 64801302721 129602605442 225633451643 259205210884 451266903286 902533806572 1101622146257 2203244292514 4406488585028 18727576486369 37455152972738 74910305945476