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19971074232 = 2334793671063
BaseRepresentation
bin10010100110010111…
…100110100010111000
31220112211002200120000
4102212113212202320
5311400043333412
613101413233000
71304621221134
oct224627464270
956484080500
1019971074232
11851917272a
123a54332760
131b636ba8b5
14d765163c4
157bd4554dc
hex4a65e68b8

19971074232 has 160 divisors (see below), whose sum is σ = 56853350400. Its totient is φ = 6548682816.

The previous prime is 19971074209. The next prime is 19971074267. The reversal of 19971074232 is 23247017991.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18786933 + ... + 18787995.

It is an arithmetic number, because the mean of its divisors is an integer number (355333440).

Almost surely, 219971074232 is an apocalyptic number.

19971074232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19971074232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28426675200).

19971074232 is an abundant number, since it is smaller than the sum of its proper divisors (36882276168).

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

19971074232 is a wasteful number, since it uses less digits than its factorization.

19971074232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1527 (or 1514 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 19971074232 in words is "nineteen billion, nine hundred seventy-one million, seventy-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 79 81 108 158 162 216 237 316 324 367 474 632 648 711 734 948 1063 1101 1422 1468 1896 2126 2133 2202 2844 2936 3189 3303 4252 4266 4404 5688 6378 6399 6606 8504 8532 8808 9567 9909 12756 12798 13212 17064 19134 19818 25512 25596 26424 28701 28993 29727 38268 39636 51192 57402 57986 59454 76536 79272 83977 86103 86979 114804 115972 118908 167954 172206 173958 229608 231944 237816 251931 260937 335908 344412 347916 390121 503862 521874 671816 688824 695832 755793 780242 782811 1007724 1043748 1170363 1511586 1560484 1565622 2015448 2087496 2267379 2340726 2348433 3023172 3120968 3131244 3511089 4534758 4681452 4696866 6046344 6262488 6802137 7022178 9069516 9362904 9393732 10533267 13604274 14044356 18139032 18787464 21066534 27208548 28088712 30819559 31599801 42133068 54417096 61639118 63199602 84266136 92458677 123278236 126399204 184917354 246556472 252798408 277376031 369834708 554752062 739669416 832128093 1109504124 1664256186 2219008248 2496384279 3328512372 4992768558 6657024744 9985537116 19971074232