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19899616356 = 22341724612
BaseRepresentation
bin10010100010000111…
…000000110001100100
31220100211122020210000
4102202013000301210
5311223300210411
613050341501300
71303062643134
oct224207006144
956324566700
1019899616356
1184918a6334
123a34411830
131b5195b629
14d6ac34ac4
157b703c956
hex4a21c0c64

19899616356 has 135 divisors (see below), whose sum is σ = 55381756507. Its totient is φ = 6229474560.

The previous prime is 19899616349. The next prime is 19899616367. The reversal of 19899616356 is 65361699891.

The square root of 19899616356 is 141066.

It is a perfect power (a square), and thus also a powerful number.

19899616356 is a `hidden beast` number, since 1 + 9 + 8 + 9 + 9 + 616 + 3 + 5 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 248062500 + 19651553856 = 15750^2 + 140184^2 .

It is a super-2 number, since 2×198996163562 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

Its product of digits (18895680) is a multiple of the sum of its prime factors (972).

It is a junction number, because it is equal to n+sod(n) for n = 19899616293 and 19899616302.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 43165966 + ... + 43166426.

Almost surely, 219899616356 is an apocalyptic number.

19899616356 is the 141066-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19899616356

19899616356 is an abundant number, since it is smaller than the sum of its proper divisors (35482140151).

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

19899616356 is an equidigital number, since it uses as much as digits as its factorization.

19899616356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 483 counting only the distinct ones).

The product of its digits is 18895680, while the sum is 63.

The spelling of 19899616356 in words is "nineteen billion, eight hundred ninety-nine million, six hundred sixteen thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 289 306 324 459 461 578 612 867 918 922 1156 1377 1383 1734 1836 1844 2601 2754 2766 3468 4149 5202 5508 5532 7803 7837 8298 10404 12447 15606 15674 16596 23409 23511 24894 31212 31348 37341 46818 47022 49788 70533 74682 93636 94044 133229 141066 149364 211599 212521 266458 282132 399687 423198 425042 532916 634797 637563 799374 846396 850084 1199061 1269594 1275126 1598748 1912689 2398122 2539188 2550252 3597183 3612857 3825378 4796244 5738067 7194366 7225714 7650756 10791549 10838571 11476134 14388732 14451428 17214201 21583098 21677142 22952268 32515713 34428402 43166196 43354284 61418569 65031426 68856804 97547139 122837138 130062852 184255707 195094278 245674276 292641417 368511414 390188556 552767121 585282834 737022828 1105534242 1170565668 1658301363 2211068484 3316602726 4974904089 6633205452 9949808178 19899616356