Search a number
-
+
3973897158 = 237311199239
BaseRepresentation
bin1110110011011100…
…1101101111000110
3101020221120220002020
43230313031233012
531114304202113
61454154224010
7200322366000
oct35467155706
911227526066
103973897158
11175a185830
1292aa25006
134b43b254a
14299abb370
15183d1b023
hexecdcdbc6

3973897158 has 128 divisors (see below), whose sum is σ = 10644480000. Its totient is φ = 977749920.

The previous prime is 3973897133. The next prime is 3973897201. The reversal of 3973897158 is 8517983793.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 425503 + ... + 434741.

It is an arithmetic number, because the mean of its divisors is an integer number (83160000).

Almost surely, 23973897158 is an apocalyptic number.

3973897158 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3973897158, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5322240000).

3973897158 is an abundant number, since it is smaller than the sum of its proper divisors (6670582842).

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

3973897158 is a wasteful number, since it uses less digits than its factorization.

3973897158 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9295 (or 9281 counting only the distinct ones).

The product of its digits is 11430720, while the sum is 60.

The square root of 3973897158 is about 63038.8543518995. The cubic root of 3973897158 is about 1583.9405403466.

The spelling of 3973897158 in words is "three billion, nine hundred seventy-three million, eight hundred ninety-seven thousand, one hundred fifty-eight".

Divisors: 1 2 3 6 7 11 14 19 21 22 33 38 42 49 57 66 77 98 114 133 147 154 209 231 266 294 343 399 418 462 539 627 686 798 931 1029 1078 1254 1463 1617 1862 2058 2793 2926 3234 3773 4389 5586 6517 7546 8778 9239 10241 11319 13034 18478 19551 20482 22638 27717 30723 39102 55434 61446 64673 71687 101629 129346 143374 175541 194019 203258 215061 304887 351082 388038 430122 452711 526623 609774 711403 905422 1053246 1228787 1358133 1422806 1930951 2134209 2457574 2716266 3168977 3686361 3861902 4268418 4979821 5792853 6337954 7372722 8601509 9506931 9959642 11585706 13516657 14939463 17203018 19013862 25804527 27033314 29878926 34858747 40549971 51609054 60210563 69717494 81099942 94616599 104576241 120421126 180631689 189233198 209152482 283849797 361263378 567699594 662316193 1324632386 1986948579 3973897158