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19720555392 = 2731910725261
BaseRepresentation
bin10010010111011011…
…111100101110000000
31212220100201000022110
4102113123330232000
5310341430233032
613020503535320
71265456645406
oct222733745600
955810630273
1019720555392
1183aa81516a
1239a445a540
131b23825cb5
14d51143476
157a646c7cc
hex4976fcb80

19720555392 has 128 divisors (see below), whose sum is σ = 55657238400. Its totient is φ = 6169098240.

The previous prime is 19720555391. The next prime is 19720555397. The reversal of 19720555392 is 29355502791.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19720555391) 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, 768042 + ... + 793302.

It is an arithmetic number, because the mean of its divisors is an integer number (434822175).

Almost surely, 219720555392 is an apocalyptic number.

19720555392 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 19720555392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27828619200).

19720555392 is an abundant number, since it is smaller than the sum of its proper divisors (35936683008).

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

19720555392 is a wasteful number, since it uses less digits than its factorization.

19720555392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25404 (or 25392 counting only the distinct ones).

The product of its (nonzero) digits is 850500, while the sum is 48.

The spelling of 19720555392 in words is "nineteen billion, seven hundred twenty million, five hundred fifty-five thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 107 114 128 152 192 214 228 304 321 384 428 456 608 642 856 912 1216 1284 1712 1824 2033 2432 2568 3424 3648 4066 5136 6099 6848 7296 8132 10272 12198 13696 16264 20544 24396 25261 32528 41088 48792 50522 65056 75783 97584 101044 130112 151566 195168 202088 260224 303132 390336 404176 479959 606264 780672 808352 959918 1212528 1439877 1616704 1919836 2425056 2702927 2879754 3233408 3839672 4850112 5405854 5759508 7679344 8108781 9700224 10811708 11519016 15358688 16217562 21623416 23038032 30717376 32435124 43246832 46076064 51355613 61434752 64870248 86493664 92152128 102711226 129740496 154066839 172987328 184304256 205422452 259480992 308133678 345974656 410844904 518961984 616267356 821689808 1037923968 1232534712 1643379616 2465069424 3286759232 4930138848 6573518464 9860277696 19720555392