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19998131712 = 293131952711
BaseRepresentation
bin10010100111111110…
…110100011000000000
31220121201000100102220
4102213332310120000
5311424010203322
613104221211040
71305400212666
oct224776643000
956551010386
1019998131712
118532473389
123a61400a80
131b691a2440
14d79d5ac36
157c09ec55c
hex4a7fb4600

19998131712 has 160 divisors (see below), whose sum is σ = 60395301120. Its totient is φ = 5829304320.

The previous prime is 19998131711. The next prime is 19998131719. The reversal of 19998131712 is 21713189991.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19998131711) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 353037 + ... + 405747.

It is an arithmetic number, because the mean of its divisors is an integer number (377470632).

Almost surely, 219998131712 is an apocalyptic number.

19998131712 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 19998131712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30197650560).

19998131712 is an abundant number, since it is smaller than the sum of its proper divisors (40397169408).

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

19998131712 is a wasteful number, since it uses less digits than its factorization.

19998131712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52764 (or 52748 counting only the distinct ones).

The product of its digits is 244944, while the sum is 51.

The spelling of 19998131712 in words is "nineteen billion, nine hundred ninety-eight million, one hundred thirty-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 64 76 78 96 104 114 128 152 156 192 208 228 247 256 304 312 384 416 456 494 512 608 624 741 768 832 912 988 1216 1248 1482 1536 1664 1824 1976 2432 2496 2964 3328 3648 3952 4864 4992 5928 6656 7296 7904 9728 9984 11856 14592 15808 19968 23712 29184 31616 47424 52711 63232 94848 105422 126464 158133 189696 210844 316266 379392 421688 632532 685243 843376 1001509 1265064 1370486 1686752 2003018 2055729 2530128 2740972 3004527 3373504 4006036 4111458 5060256 5481944 6009054 6747008 8012072 8222916 10120512 10963888 12018108 13019617 13494016 16024144 16445832 20241024 21927776 24036216 26039234 26988032 32048288 32891664 39058851 40482048 43855552 48072432 52078468 64096576 65783328 78117702 80964096 87711104 96144864 104156936 128193152 131566656 156235404 175422208 192289728 208313872 256386304 263133312 312470808 350844416 384579456 416627744 512772608 526266624 624941616 769158912 833255488 1052533248 1249883232 1538317824 1666510976 2499766464 3333021952 4999532928 6666043904 9999065856 19998131712