Search a number
-
+
272428142563472 = 24714952331213753
BaseRepresentation
bin111101111100010110011110…
…101010100001000010010000
31022201120212122122212101210112
4331330112132222201002100
5241201430313444012342
62403223432211020452
7111245166223241630
oct7574263652410220
91281525578771715
10272428142563472
1179893143321075
122667a49589a728
13b901b2c4800ac
144b3b84199c6c0
152176733e83682
hexf7c59eaa1090

272428142563472 has 80 divisors (see below), whose sum is σ = 608443463971200. Its totient is φ = 115749581976576.

The previous prime is 272428142563463. The next prime is 272428142563481. The reversal of 272428142563472 is 274365241824272.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (272428142563463) and next prime (272428142563481).

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 15 ways as a sum of consecutive naturals, for example, 6879053 + ... + 24334700.

It is an arithmetic number, because the mean of its divisors is an integer number (7605543299640).

Almost surely, 2272428142563472 is an apocalyptic number.

It is an amenable number.

272428142563472 is an abundant number, since it is smaller than the sum of its proper divisors (336015321407728).

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

272428142563472 is a wasteful number, since it uses less digits than its factorization.

272428142563472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31214440 (or 31214434 counting only the distinct ones).

The product of its digits is 72253440, while the sum is 59.

The spelling of 272428142563472 in words is "two hundred seventy-two trillion, four hundred twenty-eight billion, one hundred forty-two million, five hundred sixty-three thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 149 298 523 596 1043 1046 1192 2086 2092 2384 3661 4172 4184 7322 8344 8368 14644 16688 29288 58576 77927 155854 311708 545489 623416 1090978 1246832 2181956 4363912 8727824 31213753 62427506 124855012 218496271 249710024 436992542 499420048 873985084 1747970168 3495940336 4650849197 9301698394 16324792819 18603396788 32555944379 32649585638 37206793576 65111888758 65299171276 74413587152 114273549733 130223777516 130598342552 228547099466 260447555032 261196685104 457094198932 520895110064 914188397864 1828376795728 2432394130031 4864788260062 9729576520124 17026758910217 19459153040248 34053517820434 38918306080496 68107035640868 136214071281736 272428142563472