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20150618235136 = 28157217872
BaseRepresentation
bin1001001010011101011100…
…11100010010000100000000
32122100101021020020121200221
410211032232130102010000
510120121431232011021
6110505022145352424
74146556050630634
oct445165634220400
978311236217627
1020150618235136
116469913739414
1223153a9338714
13b3226c974aac
144d941bb80dc4
1524e26cd86241
hex1253ae712100

20150618235136 has 81 divisors (see below), whose sum is σ = 40503014706189. Its totient is φ = 10005532972032.

The previous prime is 20150618235131. The next prime is 20150618235193. The reversal of 20150618235136 is 63153281605102.

The square root of 20150618235136 is 4488944.

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

It can be written as a sum of positive squares in only one way, i.e., 5906455302400 + 14244162932736 = 2430320^2 + 3774144^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20150618235092 and 20150618235101.

It is not an unprimeable number, because it can be changed into a prime (20150618235131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11276226435 + ... + 11276228221.

Almost surely, 220150618235136 is an apocalyptic number.

20150618235136 is the 4488944-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20150618235136

20150618235136 is an abundant number, since it is smaller than the sum of its proper divisors (20352396471053).

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

20150618235136 is an frugal number, since it uses more digits than its factorization.

20150618235136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3904 (or 1946 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 43.

The spelling of 20150618235136 in words is "twenty trillion, one hundred fifty billion, six hundred eighteen million, two hundred thirty-five thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 128 157 256 314 628 1256 1787 2512 3574 5024 7148 10048 14296 20096 24649 28592 40192 49298 57184 98596 114368 197192 228736 280559 394384 457472 561118 788768 1122236 1577536 2244472 3155072 3193369 4488944 6310144 6386738 8977888 12773476 17955776 25546952 35911552 44047763 51093904 71823104 88095526 102187808 176191052 204375616 352382104 408751232 501358933 704764208 817502464 1002717866 1409528416 2005435732 2819056832 4010871464 5638113664 8021742928 11276227328 16043485856 32086971712 64173943424 78713352481 128347886848 157426704962 314853409924 629706819848 1259413639696 2518827279392 5037654558784 10075309117568 20150618235136