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20845393536 = 273115393113
BaseRepresentation
bin10011011010011110…
…110111011010000000
31222210202021201011110
4103122132313122000
5320142410043121
613324245043320
71335365631042
oct233236673200
958722251143
1020845393536
118927754770
1240590b6540
131c728922b6
14101a6a9a92
158200acd76
hex4da7b7680

20845393536 has 128 divisors (see below), whose sum is σ = 61544629440. Its totient is φ = 6197534720.

The previous prime is 20845393507. The next prime is 20845393537. The reversal of 20845393536 is 63539354802.

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 not an unprimeable number, because it can be changed into a prime (20845393537) 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, 177316 + ... + 270428.

Almost surely, 220845393536 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 20845393536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30772314720).

20845393536 is an abundant number, since it is smaller than the sum of its proper divisors (40699235904).

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

20845393536 is a wasteful number, since it uses less digits than its factorization.

20845393536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93194 (or 93182 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 48.

The spelling of 20845393536 in words is "twenty billion, eight hundred forty-five million, three hundred ninety-three thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 53 64 66 88 96 106 128 132 159 176 192 212 264 318 352 384 424 528 583 636 704 848 1056 1166 1272 1408 1696 1749 2112 2332 2544 3392 3498 4224 4664 5088 6784 6996 9328 10176 13992 18656 20352 27984 37312 55968 74624 93113 111936 186226 223872 279339 372452 558678 744904 1024243 1117356 1489808 2048486 2234712 2979616 3072729 4096972 4469424 4934989 5959232 6145458 8193944 8938848 9869978 11918464 12290916 14804967 16387888 17877696 19739956 24581832 29609934 32775776 35755392 39479912 49163664 54284879 59219868 65551552 78959824 98327328 108569758 118439736 131103104 157919648 162854637 196654656 217139516 236879472 315839296 325709274 393309312 434279032 473758944 631678592 651418548 868558064 947517888 1302837096 1737116128 1895035776 2605674192 3474232256 5211348384 6948464512 10422696768 20845393536