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54035807397 = 31113192383911
BaseRepresentation
bin110010010100110010…
…001111110010100101
312011110211220102120220
4302110302033302211
51341131131314042
640453530514553
73622025533035
oct622462176245
9164424812526
1054035807397
1120a09893970
12a580595a59
135131c1a840
1428887258c5
151613d3e8ec
hexc94c8fca5

54035807397 has 96 divisors (see below), whose sum is σ = 89664454656. Its totient is φ = 28532649600.

The previous prime is 54035807383. The next prime is 54035807417. The reversal of 54035807397 is 79370853045.

54035807397 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 54035807397 - 215 = 54035774629 is a prime.

It is a super-3 number, since 3×540358073973 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54035807897) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59314372 + ... + 59315282.

It is an arithmetic number, because the mean of its divisors is an integer number (934004736).

Almost surely, 254035807397 is an apocalyptic number.

54035807397 is a gapful number since it is divisible by the number (57) formed by its first and last digit.

It is an amenable number.

54035807397 is a deficient number, since it is larger than the sum of its proper divisors (35628647259).

54035807397 is a wasteful number, since it uses less digits than its factorization.

54035807397 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1359 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 51.

The spelling of 54035807397 in words is "fifty-four billion, thirty-five million, eight hundred seven thousand, three hundred ninety-seven".

Divisors: 1 3 11 13 19 33 39 57 143 209 247 361 383 429 627 741 911 1083 1149 2717 2733 3971 4213 4693 4979 7277 8151 10021 11843 11913 12639 14079 14937 17309 21831 30063 35529 51623 51927 54769 80047 94601 130273 138263 154869 164307 190399 225017 240141 283803 328871 348913 390819 414789 571197 675051 986613 1040611 1046739 1520893 1797419 2475187 3121833 3617581 3838043 4275323 4535869 4562679 5392257 6629347 7425561 10852743 11514129 12825969 13607607 19771609 19888041 47028553 49894559 59314827 72922817 86181511 125957593 141085659 149683677 218768451 258544533 377872779 947996621 1385533523 1637448709 2843989863 4156600569 4912346127 18011935799 54035807397