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19914596040 = 23351071977873
BaseRepresentation
bin10010100011000000…
…001001111011001000
31220101212211022001010
4102203000021323020
5311241114033130
613052034523520
71303334162523
oct224300117310
956355738033
1019914596040
11849a2a7839
123a394365a0
131b54aa4951
14d6cc13bba
157b84eb0b0
hex4a3009ec8

19914596040 has 128 divisors (see below), whose sum is σ = 60615941760. Its totient is φ = 5233557504.

The previous prime is 19914596033. The next prime is 19914596041. The reversal of 19914596040 is 4069541991.

It is a happy number.

It is a super-2 number, since 2×199145960402 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (19914596041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2525544 + ... + 2533416.

It is an arithmetic number, because the mean of its divisors is an integer number (473562045).

Almost surely, 219914596040 is an apocalyptic number.

19914596040 is a gapful number since it is divisible by the number (10) 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 19914596040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30307970880).

19914596040 is an abundant number, since it is smaller than the sum of its proper divisors (40701345720).

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

19914596040 is a wasteful number, since it uses less digits than its factorization.

19914596040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8191 (or 8187 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 48.

The spelling of 19914596040 in words is "nineteen billion, nine hundred fourteen million, five hundred ninety-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 107 120 197 214 321 394 428 535 591 642 788 856 985 1070 1182 1284 1576 1605 1970 2140 2364 2568 2955 3210 3940 4280 4728 5910 6420 7873 7880 11820 12840 15746 21079 23619 23640 31492 39365 42158 47238 62984 63237 78730 84316 94476 105395 118095 126474 157460 168632 188952 210790 236190 252948 314920 316185 421580 472380 505896 632370 842411 843160 944760 1264740 1550981 1684822 2527233 2529480 3101962 3369644 4212055 4652943 5054466 6203924 6739288 7754905 8424110 9305886 10108932 12407848 12636165 15509810 16848220 18611772 20217864 23264715 25272330 31019620 33696440 37223544 46529430 50544660 62039240 93058860 101089320 165954967 186117720 331909934 497864901 663819868 829774835 995729802 1327639736 1659549670 1991459604 2489324505 3319099340 3982919208 4978649010 6638198680 9957298020 19914596040