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19608514848 = 25321333715541
BaseRepresentation
bin10010010000110000…
…100011000100100000
31212121112212202120200
4102100300203010200
5310124234433343
613001422305200
71262626424526
oct222060430440
955545782520
1019608514848
11835254a47a
123972a28200
131b06557c10
14d402da316
1579b6da4d3
hex490c23120

19608514848 has 144 divisors (see below), whose sum is σ = 60233145336. Its totient is φ = 6015098880.

The previous prime is 19608514817. The next prime is 19608514853. The reversal of 19608514848 is 84841580691.

It is a happy number.

19608514848 is a `hidden beast` number, since 19 + 608 + 5 + 14 + 8 + 4 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14110588944 + 5497925904 = 118788^2 + 74148^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 19608514794 and 19608514803.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1253958 + ... + 1269498.

Almost surely, 219608514848 is an apocalyptic number.

19608514848 is a gapful number since it is divisible by the number (18) 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 19608514848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30116572668).

19608514848 is an abundant number, since it is smaller than the sum of its proper divisors (40624630488).

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

19608514848 is a wasteful number, since it uses less digits than its factorization.

19608514848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15907 (or 15896 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 19608514848 in words is "nineteen billion, six hundred eight million, five hundred fourteen thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 337 416 468 624 674 936 1011 1248 1348 1872 2022 2696 3033 3744 4044 4381 5392 6066 8088 8762 10784 12132 13143 15541 16176 17524 24264 26286 31082 32352 35048 39429 46623 48528 52572 62164 70096 78858 93246 97056 105144 124328 139869 140192 157716 186492 202033 210288 248656 279738 315432 372984 404066 420576 497312 559476 606099 630864 745968 808132 1118952 1212198 1261728 1491936 1616264 1818297 2237904 2424396 3232528 3636594 4475808 4848792 5237317 6465056 7273188 9697584 10474634 14546376 15711951 19395168 20949268 29092752 31423902 41898536 47135853 58185504 62847804 68085121 83797072 94271706 125695608 136170242 167594144 188543412 204255363 251391216 272340484 377086824 408510726 502782432 544680968 612766089 754173648 817021452 1089361936 1225532178 1508347296 1634042904 2178723872 2451064356 3268085808 4902128712 6536171616 9804257424 19608514848