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42730807776 = 2531733179103
BaseRepresentation
bin100111110010111101…
…000110000111100000
311002021222112221112020
4213302331012013200
51200003041322101
631344045301440
73041623605336
oct476275060740
9132258487466
1042730807776
1117138477378
128346564880
13404ca64857
1420d513db56
1511a1605136
hex9f2f461e0

42730807776 has 96 divisors (see below), whose sum is σ = 119126827008. Its totient is φ = 13365073920.

The previous prime is 42730807751. The next prime is 42730807787. The reversal of 42730807776 is 67770803724.

42730807776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 500641 + ... + 579743.

It is an arithmetic number, because the mean of its divisors is an integer number (1240904448).

Almost surely, 242730807776 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 42730807776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59563413504).

42730807776 is an abundant number, since it is smaller than the sum of its proper divisors (76396019232).

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

42730807776 is a wasteful number, since it uses less digits than its factorization.

42730807776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79464 (or 79456 counting only the distinct ones).

The product of its (nonzero) digits is 2765952, while the sum is 51.

The spelling of 42730807776 in words is "forty-two billion, seven hundred thirty million, eight hundred seven thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 331 408 544 662 816 993 1324 1632 1986 2648 3972 5296 5627 7944 10592 11254 15888 16881 22508 31776 33762 45016 67524 79103 90032 135048 158206 180064 237309 270096 316412 474618 540192 632824 949236 1265648 1344751 1898472 2531296 2689502 3796944 4034253 5379004 7593888 8068506 10758008 16137012 21516016 26183093 32274024 43032032 52366186 64548048 78549279 104732372 129096096 157098558 209464744 314197116 418929488 445112581 628394232 837858976 890225162 1256788464 1335337743 1780450324 2513576928 2670675486 3560900648 5341350972 7121801296 10682701944 14243602592 21365403888 42730807776