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64328012672 = 2771128123227
BaseRepresentation
bin111011111010001111…
…111001001110000000
320011001010111121222212
4323322033321032000
52023220432401142
645315112321252
74435052041310
oct737217711600
9204033447885
1064328012672
1125310539040
12105733a3228
1360b2306c31
1431835cd440
151a176bbd82
hexefa3f9380

64328012672 has 128 divisors (see below), whose sum is σ = 160351246080. Its totient is φ = 24972595200.

The previous prime is 64328012557. The next prime is 64328012677. The reversal of 64328012672 is 27621082346.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64328012677) 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, 2757923 + ... + 2781149.

It is an arithmetic number, because the mean of its divisors is an integer number (1252744110).

Almost surely, 264328012672 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 64328012672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80175623040).

64328012672 is an abundant number, since it is smaller than the sum of its proper divisors (96023233408).

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

64328012672 is a wasteful number, since it uses less digits than its factorization.

64328012672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23540 (or 23528 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 41.

The spelling of 64328012672 in words is "sixty-four billion, three hundred twenty-eight million, twelve thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 281 308 352 448 562 616 704 896 1124 1232 1408 1967 2248 2464 3091 3934 4496 4928 6182 7868 8992 9856 12364 15736 17984 21637 23227 24728 31472 35968 43274 46454 49456 62944 86548 92908 98912 125888 162589 173096 185816 197824 251776 255497 325178 346192 371632 395648 510994 650356 692384 743264 1021988 1300712 1384768 1486528 1788479 2043976 2601424 2769536 2973056 3576958 4087952 5202848 6526787 7153916 8175904 10405696 13053574 14307832 16351808 20811392 26107148 28615664 32703616 45687509 52214296 57231328 71794657 91375018 104428592 114462656 143589314 182750036 208857184 228925312 287178628 365500072 417714368 502562599 574357256 731000144 835428736 1005125198 1148714512 1462000288 2010250396 2297429024 2924000576 4020500792 4594858048 5848001152 8041001584 9189716096 16082003168 32164006336 64328012672