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345085478166 = 2311132368325603
BaseRepresentation
bin1010000010110001011…
…00101000010100010110
31012222201121012121210210
411001120230220110112
521123213340300131
6422310255230250
733634353111162
oct5013054502426
91188647177723
10345085478166
11123393835360
1256a68518386
132670666a740
14129b8ca1ca2
158e9a884146
hex5058b28516

345085478166 has 128 divisors (see below), whose sum is σ = 847355572224. Its totient is φ = 92191777920.

The previous prime is 345085478159. The next prime is 345085478167. The reversal of 345085478166 is 661874580543.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345085478167) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13465521 + ... + 13491123.

It is an arithmetic number, because the mean of its divisors is an integer number (6619965408).

Almost surely, 2345085478166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345085478166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423677786112).

345085478166 is an abundant number, since it is smaller than the sum of its proper divisors (502270094058).

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

345085478166 is a wasteful number, since it uses less digits than its factorization.

345085478166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26338.

The product of its (nonzero) digits is 19353600, while the sum is 57.

The spelling of 345085478166 in words is "three hundred forty-five billion, eighty-five million, four hundred seventy-eight thousand, one hundred sixty-six".

Divisors: 1 2 3 6 11 13 22 23 26 33 39 46 66 69 78 138 143 253 286 299 429 506 598 683 759 858 897 1366 1518 1794 2049 3289 4098 6578 7513 8879 9867 15026 15709 17758 19734 22539 25603 26637 31418 45078 47127 51206 53274 76809 94254 97669 153618 172799 195338 204217 281633 293007 332839 345598 408434 518397 563266 586014 588869 612651 665678 844899 998517 1036794 1177738 1225302 1689798 1766607 1997034 2246387 3533214 3661229 4492774 6477559 6739161 7322458 7655297 10983687 12955118 13478322 15310594 17486849 19432677 21967374 22965891 34973698 38865354 45931782 52460547 84208267 104921094 168416534 192355339 227329037 252624801 384710678 402197527 454658074 505249602 577066017 681987111 804395054 1154132034 1206592581 1363974222 2413185162 2500619407 4424172797 5001238814 5228567851 7501858221 8848345594 10457135702 13272518391 15003716442 15685703553 26545036782 31371407106 57514246361 115028492722 172542739083 345085478166