Search a number
-
+
54873867470975 = 5272313633258999
BaseRepresentation
bin11000111101000010100010…
…11000001100100001111111
321012021220001011200000201222
430132201101120030201333
524143023140033032400
6312412412352023555
714362335406366430
oct1436412130144177
9235256034600658
1054873867470975
11165369706a0723
1261a2b0b231bbb
132480777c41487
14d79ca33bb487
156525ddd15185
hex31e85160c87f

54873867470975 has 24 divisors (see below), whose sum is σ = 81145157568000. Its totient is φ = 35991803754720.

The previous prime is 54873867470971. The next prime is 54873867471011. The reversal of 54873867470975 is 57907476837845.

It is not a de Polignac number, because 54873867470975 - 22 = 54873867470971 is a prime.

It is a super-3 number, since 3×548738674709753 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (80) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 54873867470975.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54873867470971) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6816625475 + ... + 6816633524.

It is an arithmetic number, because the mean of its divisors is an integer number (3381048232000).

Almost surely, 254873867470975 is an apocalyptic number.

54873867470975 is a deficient number, since it is larger than the sum of its proper divisors (26271290097025).

54873867470975 is a wasteful number, since it uses less digits than its factorization.

54873867470975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13633259039 (or 13633259034 counting only the distinct ones).

The product of its (nonzero) digits is 9957427200, while the sum is 80.

The spelling of 54873867470975 in words is "fifty-four trillion, eight hundred seventy-three billion, eight hundred sixty-seven million, four hundred seventy thousand, nine hundred seventy-five".

Divisors: 1 5 7 23 25 35 115 161 175 575 805 4025 13633258999 68166294995 95432812993 313564956977 340831474975 477164064965 1567824784885 2194954698839 2385820324825 7839123924425 10974773494195 54873867470975