Search a number
-
+
561353434514274 = 2323732003260910663
BaseRepresentation
bin111111110100011000100100…
…0000011101100001101100010
32201121120212100000210012010010
41333220301020003230031202
51042034203313213424044
65305522112510545350
7226145306261564643
oct17750611003541542
92647525300705103
10561353434514274
11152956722369566
1252b62081508256
131b12c52b7c7a9c
149c89918c616ca
1544d715753ebb9
hex1fe8c480ec362

561353434514274 has 128 divisors (see below), whose sum is σ = 1188728207953920. Its totient is φ = 176358140614656.

The previous prime is 561353434514267. The next prime is 561353434514293. The reversal of 561353434514274 is 472415434353165.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 52644975867 + ... + 52644986529.

It is an arithmetic number, because the mean of its divisors is an integer number (9286939124640).

Almost surely, 2561353434514274 is an apocalyptic number.

561353434514274 is an abundant number, since it is smaller than the sum of its proper divisors (627374773439646).

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

561353434514274 is a wasteful number, since it uses less digits than its factorization.

561353434514274 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15376.

The product of its digits is 72576000, while the sum is 57.

The spelling of 561353434514274 in words is "five hundred sixty-one trillion, three hundred fifty-three billion, four hundred thirty-four million, five hundred fourteen thousand, two hundred seventy-four".

Divisors: 1 2 3 6 23 46 69 73 138 146 219 438 1679 2003 2609 3358 4006 5037 5218 6009 7827 10074 10663 12018 15654 21326 31989 46069 60007 63978 92138 120014 138207 146219 180021 190457 245249 276414 292438 360042 380914 438657 490498 571371 735747 778399 877314 1142742 1471494 1556798 2335197 3363037 4380511 4670394 5225827 6726074 8761022 10089111 10451654 13141533 15677481 17903177 20178222 21357989 26283066 27819767 31354962 35806354 42715978 53709531 55639534 64073967 83459301 107419062 120194021 128147934 166918602 240388042 360582063 381485371 491233747 639854641 721164126 762970742 982467494 1144456113 1279709282 1473701241 1559133197 1919563923 2030842991 2288912226 2947402482 3118266394 3839127846 4061685982 4677399591 6092528973 8774163533 9354799182 12185057946 17548327066 26322490599 35860063531 46709388793 52644981198 55722993301 71720127062 93418777586 107580190593 111445986602 140128166379 167168979903 215160381186 280256332758 334337959806 1281628845923 2563257691846 3844886537769 4067778510973 7689773075538 8135557021946 12203335532919 24406671065838 93558905752379 187117811504758 280676717257137 561353434514274