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84157937664 = 211323595547
BaseRepresentation
bin100111001100000110…
…1000011100000000000
322001020010000012012020
41032120031003200000
52334323413001124
6102354524401440
76036340444563
oct1163015034000
9261203005166
1084157937664
1132766a641a9
12143883a6280
137c226a4368
1441050824da
1522c8540379
hex1398343800

84157937664 has 96 divisors (see below), whose sum is σ = 234121829760. Its totient is φ = 26832920576.

The previous prime is 84157937627. The next prime is 84157937713. The reversal of 84157937664 is 46673975148.

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

It is a junction number, because it is equal to n+sod(n) for n = 84157937598 and 84157937607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 156462 + ... + 439085.

It is an arithmetic number, because the mean of its divisors is an integer number (2438769060).

Almost surely, 284157937664 is an apocalyptic number.

It is an amenable number.

84157937664 is an abundant number, since it is smaller than the sum of its proper divisors (149963892096).

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

84157937664 is a wasteful number, since it uses less digits than its factorization.

84157937664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595595 (or 595575 counting only the distinct ones).

The product of its digits is 30481920, while the sum is 60.

The spelling of 84157937664 in words is "eighty-four billion, one hundred fifty-seven million, nine hundred thirty-seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 384 512 552 736 768 1024 1104 1472 1536 2048 2208 2944 3072 4416 5888 6144 8832 11776 17664 23552 35328 47104 70656 141312 595547 1191094 1786641 2382188 3573282 4764376 7146564 9528752 13697581 14293128 19057504 27395162 28586256 38115008 41092743 54790324 57172512 76230016 82185486 109580648 114345024 152460032 164370972 219161296 228690048 304920064 328741944 438322592 457380096 609840128 657483888 876645184 914760192 1219680256 1314967776 1753290368 1829520384 2629935552 3506580736 3659040768 5259871104 7013161472 10519742208 14026322944 21039484416 28052645888 42078968832 84157937664