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19457331920 = 2451329645137
BaseRepresentation
bin10010000111101111…
…110101001011010000
31212020000101212120222
4102013233311023100
5304322034110140
612534422052212
71256112410135
oct220757651320
955200355528
1019457331920
11828517a504
12393027a068
131ab1133770
14d281c458c
1578d2c55b5
hex487bf52d0

19457331920 has 80 divisors (see below), whose sum is σ = 50398180560. Its totient is φ = 6936502272.

The previous prime is 19457331917. The next prime is 19457331967. The reversal of 19457331920 is 2913375491.

It can be written as a sum of positive squares in 8 ways, for example, as 4605522496 + 14851809424 = 67864^2 + 121868^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 292409 + ... + 352728.

It is an arithmetic number, because the mean of its divisors is an integer number (629977257).

Almost surely, 219457331920 is an apocalyptic number.

19457331920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19457331920 is an abundant number, since it is smaller than the sum of its proper divisors (30940848640).

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

19457331920 is a wasteful number, since it uses less digits than its factorization.

19457331920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645192 (or 645186 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 44.

The spelling of 19457331920 in words is "nineteen billion, four hundred fifty-seven million, three hundred thirty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 29 40 52 58 65 80 104 116 130 145 208 232 260 290 377 464 520 580 754 1040 1160 1508 1885 2320 3016 3770 6032 7540 15080 30160 645137 1290274 2580548 3225685 5161096 6451370 8386781 10322192 12902740 16773562 18708973 25805480 33547124 37417946 41933905 51610960 67094248 74835892 83867810 93544865 134188496 149671784 167735620 187089730 243216649 299343568 335471240 374179460 486433298 670942480 748358920 972866596 1216083245 1496717840 1945733192 2432166490 3891466384 4864332980 9728665960 19457331920