Search a number
-
+
53905792734 = 2391997743
BaseRepresentation
bin110010001101000010…
…010001111011011110
312011010210021000000000
4302031002101323132
51340344340331414
640433004115130
73615556451403
oct621502217336
9164123230000
1053905792734
1120952461a32
12a544b35aa6
135110cc84a1
1428753602aa
15160770bb09
hexc8d091ede

53905792734 has 160 divisors (see below), whose sum is σ = 129159233280. Its totient is φ = 16824713472.

The previous prime is 53905792727. The next prime is 53905792751. The reversal of 53905792734 is 43729750935.

53905792734 is a `hidden beast` number, since 5 + 39 + 0 + 579 + 2 + 7 + 34 = 666.

53905792734 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 72551167 + ... + 72551909.

It is an arithmetic number, because the mean of its divisors is an integer number (807245208).

Almost surely, 253905792734 is an apocalyptic number.

53905792734 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 53905792734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64579616640).

53905792734 is an abundant number, since it is smaller than the sum of its proper divisors (75253440546).

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

53905792734 is an frugal number, since it uses more digits than its factorization.

53905792734 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 7144200, while the sum is 54.

The spelling of 53905792734 in words is "fifty-three billion, nine hundred five million, seven hundred ninety-two thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 97 114 162 171 194 243 291 342 486 513 582 729 743 873 1026 1458 1486 1539 1746 1843 2187 2229 2619 3078 3686 4374 4458 4617 5238 5529 6561 6687 7857 9234 11058 13122 13374 13851 14117 15714 16587 19683 20061 23571 27702 28234 33174 39366 40122 41553 42351 47142 49761 60183 70713 72071 83106 84702 99522 120366 124659 127053 141426 144142 149283 180549 212139 216213 249318 254106 298566 361098 373977 381159 424278 432426 447849 541647 636417 648639 747954 762318 895698 1083294 1143477 1272834 1297278 1343547 1369349 1624941 1909251 1945917 2286954 2687094 2738698 3249882 3430431 3818502 3891834 4030641 4108047 4874823 5837751 6860862 8061282 8216094 9749646 10291293 11675502 12091923 12324141 14624469 17513253 20582586 24183846 24648282 29248938 30873879 35026506 36275769 36972423 52539759 61747758 72551538 73944846 92621637 105079518 110917269 157619277 185243274 221834538 277864911 315238554 332751807 472857831 555729822 665503614 945715662 998255421 1418573493 1996510842 2837146986 2994766263 5989532526 8984298789 17968597578 26952896367 53905792734