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20352265442136 = 23331994421107099
BaseRepresentation
bin1001010000010101000011…
…00011010101001101011000
32200001122202101001002102000
410220022201203111031120
510131422414423122021
6111141411321041000
74200255052620465
oct450124143251530
980048671032360
1020352265442136
116537390294611
1223484a4626160
13b48297317a64
145050aa92466c
15254620c31b26
hex1282a18d5358

20352265442136 has 128 divisors (see below), whose sum is σ = 56831544000000. Its totient is φ = 6748407768960.

The previous prime is 20352265442101. The next prime is 20352265442137. The reversal of 20352265442136 is 63124456225302.

20352265442136 is a `hidden beast` number, since 2 + 0 + 3 + 52 + 2 + 6 + 544 + 21 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 20352265442091 and 20352265442100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20352265442137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 189978715 + ... + 190085813.

It is an arithmetic number, because the mean of its divisors is an integer number (443996437500).

Almost surely, 220352265442136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20352265442136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28415772000000).

20352265442136 is an abundant number, since it is smaller than the sum of its proper divisors (36479278557864).

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

20352265442136 is a wasteful number, since it uses less digits than its factorization.

20352265442136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111734 (or 111724 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

The spelling of 20352265442136 in words is "twenty trillion, three hundred fifty-two billion, two hundred sixty-five million, four hundred forty-two thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 199 216 398 597 796 1194 1592 1791 2388 3582 4421 4776 5373 7164 8842 10746 13263 14328 17684 21492 26526 35368 39789 42984 53052 79578 106104 107099 119367 159156 214198 238734 318312 321297 428396 477468 642594 856792 879779 954936 963891 1285188 1759558 1927782 2570376 2639337 2891673 3519116 3855564 5278674 5783346 7038232 7711128 7918011 10557348 11566692 15836022 21114696 21312701 23133384 23754033 31672044 42625402 47508066 63344088 63938103 85250804 95016132 127876206 170501608 190032264 191814309 255752412 383628618 473484679 511504824 575442927 767257236 946969358 1150885854 1420454037 1534514472 1893938716 2301771708 2840908074 3787877432 4261362111 4603543416 5681816148 8522724222 11363632296 12784086333 17045448444 25568172666 34090896888 51136345332 94223451121 102272690664 188446902242 282670353363 376893804484 565340706726 753787608968 848011060089 1130681413452 1696022120178 2261362826904 2544033180267 3392044240356 5088066360534 6784088480712 10176132721068 20352265442136