Search a number
-
+
20770338528 = 2532193795749
BaseRepresentation
bin10011010110000000…
…100011011011100000
31222121112001112001100
4103112000203123200
5320014201313103
613313004234400
71333464651552
oct232600433340
958545045040
1020770338528
118899350835
124037b3ba00
131c60173954
14101072d4d2
158186d45a3
hex4d60236e0

20770338528 has 72 divisors (see below), whose sum is σ = 62174385000. Its totient is φ = 6559052544.

The previous prime is 20770338521. The next prime is 20770338581. The reversal of 20770338528 is 82583307702.

20770338528 is a `hidden beast` number, since 20 + 7 + 70 + 3 + 38 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-4 number, since 4×207703385284 (a number of 42 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20770338521) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1892403 + ... + 1903346.

It is an arithmetic number, because the mean of its divisors is an integer number (863533125).

Almost surely, 220770338528 is an apocalyptic number.

It is an amenable number.

20770338528 is an abundant number, since it is smaller than the sum of its proper divisors (41404046472).

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

20770338528 is a wasteful number, since it uses less digits than its factorization.

20770338528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3795784 (or 3795773 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 20770338528 in words is "twenty billion, seven hundred seventy million, three hundred thirty-eight thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2736 5472 3795749 7591498 11387247 15182996 22774494 30365992 34161741 45548988 60731984 68323482 72119231 91097976 121463968 136646964 144238462 182195952 216357693 273293928 288476924 364391904 432715386 546587856 576953848 649073079 865430772 1093175712 1153907696 1298146158 1730861544 2307815392 2596292316 3461723088 5192584632 6923446176 10385169264 20770338528