Search a number
-
+
1054018831104 = 28321726910203
BaseRepresentation
bin11110101011010000110…
…10110000001100000000
310201202121101101100222100
433111220122300030000
5114232112310043404
62124113133310400
7136102366145361
oct17255032601400
93652541340870
101054018831104
11377009174268
12150338935400
1378516821325
143902c7cdb68
151c63dd50d39
hexf5686b0300

1054018831104 has 108 divisors (see below), whose sum is σ = 3217760733096. Its totient is φ = 330672562176.

The previous prime is 1054018831049. The next prime is 1054018831127. The reversal of 1054018831104 is 4011388104501.

1054018831104 is a `hidden beast` number, since 1 + 0 + 540 + 1 + 8 + 8 + 3 + 1 + 104 = 666.

It is a super-3 number, since 3×10540188311043 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13415934 + ... + 13494269.

It is an arithmetic number, because the mean of its divisors is an integer number (29794080862).

Almost surely, 21054018831104 is an apocalyptic number.

It is an amenable number.

1054018831104 is an abundant number, since it is smaller than the sum of its proper divisors (2163741901992).

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

1054018831104 is a wasteful number, since it uses less digits than its factorization.

1054018831104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26910242 (or 26910225 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 1054018831104 in words is "one trillion, fifty-four billion, eighteen million, eight hundred thirty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 256 272 288 306 384 408 544 576 612 768 816 1088 1152 1224 1632 2176 2304 2448 3264 4352 4896 6528 9792 13056 19584 39168 26910203 53820406 80730609 107640812 161461218 215281624 242191827 322922436 430563248 457473451 484383654 645844872 861126496 914946902 968767308 1291689744 1372420353 1722252992 1829893804 1937534616 2583379488 2744840706 3444505984 3659787608 3875069232 4117261059 5166758976 5489681412 6889011968 7319575216 7750138464 8234522118 10333517952 10979362824 14639150432 15500276928 16469044236 20667035904 21958725648 29278300864 31000553856 32938088472 43917451296 58556601728 62001107712 65876176944 87834902592 117113203456 131752353888 175669805184 263504707776 351339610368 527009415552 1054018831104