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19954876416 = 21431812243
BaseRepresentation
bin10010100101011001…
…110100000000000000
31220111200121202022220
4102211121310000000
5311331422021131
613100034131040
71304333436156
oct224531640000
956450552286
1019954876416
11851000a002
123a4aa20a80
131b60238ca7
14d742db3d6
157bbd05e96
hex4a5674000

19954876416 has 120 divisors (see below), whose sum is σ = 53529219744. Its totient is φ = 6611927040.

The previous prime is 19954876411. The next prime is 19954876441. The reversal of 19954876416 is 61467845991.

It is a self number, because there is not a number n which added to its sum of digits gives 19954876416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19954876411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8895391 + ... + 8897633.

Almost surely, 219954876416 is an apocalyptic number.

19954876416 is a gapful number since it is divisible by the number (16) 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 19954876416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26764609872).

19954876416 is an abundant number, since it is smaller than the sum of its proper divisors (33574343328).

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

19954876416 is an equidigital number, since it uses as much as digits as its factorization.

19954876416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2455 (or 2429 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 60.

The spelling of 19954876416 in words is "nineteen billion, nine hundred fifty-four million, eight hundred seventy-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 181 192 256 362 384 512 543 724 768 1024 1086 1448 1536 2048 2172 2243 2896 3072 4096 4344 4486 5792 6144 6729 8192 8688 8972 11584 12288 13458 16384 17376 17944 23168 24576 26916 34752 35888 46336 49152 53832 69504 71776 92672 107664 139008 143552 185344 215328 278016 287104 370688 405983 430656 556032 574208 741376 811966 861312 1112064 1148416 1217949 1482752 1623932 1722624 2224128 2296832 2435898 2965504 3247864 3445248 4448256 4593664 4871796 6495728 6890496 8896512 9187328 9743592 12991456 13780992 18374656 19487184 25982912 27561984 36749312 38974368 51965824 55123968 77948736 103931648 110247936 155897472 207863296 311794944 415726592 623589888 831453184 1247179776 1662906368 2494359552 3325812736 4988719104 6651625472 9977438208 19954876416