Search a number
-
+
654041686140456 = 2331071847137893411
BaseRepresentation
bin1001010010110110001111001…
…0010111101110011000101000
310011202202202220122120111011020
42110231203302113232120220
51141211304333122443311
610235010334102332440
7254522644460234535
oct22455436227563050
93152682818514136
10654041686140456
1117a441580aa3a49
12614317b142a120
13220c3b35513913
14b771b0229bd8c
1550931d2836c06
hex252d8f25ee628

654041686140456 has 64 divisors (see below), whose sum is σ = 1651279124436480. Its totient is φ = 215859447161280.

The previous prime is 654041686140379. The next prime is 654041686140499.

654041686140456 is nontrivially palindromic in base 10.

654041686140456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 654041686140456.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64203610 + ... + 73689801.

It is an arithmetic number, because the mean of its divisors is an integer number (25801236319320).

Almost surely, 2654041686140456 is an apocalyptic number.

It is an amenable number.

654041686140456 is an abundant number, since it is smaller than the sum of its proper divisors (997237438296024).

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

654041686140456 is a wasteful number, since it uses less digits than its factorization.

654041686140456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137895374 (or 137895370 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 60.

The spelling of 654041686140456 in words is "six hundred fifty-four trillion, forty-one billion, six hundred eighty-six million, one hundred forty thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 24 107 214 321 428 642 856 1284 1847 2568 3694 5541 7388 11082 14776 22164 44328 197629 395258 592887 790516 1185774 1581032 2371548 4743096 137893411 275786822 413680233 551573644 827360466 1103147288 1654720932 3309441864 14754594977 29509189954 44263784931 59018379908 88527569862 118036759816 177055139724 254689130117 354110279448 509378260234 764067390351 1018756520468 1528134780702 2037513040936 3056269561404 6112539122808 27251736922519 54503473845038 81755210767557 109006947690076 163510421535114 218013895380152 327020843070228 654041686140456