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648505677512 = 237114345235413
BaseRepresentation
bin10010110111111011111…
…00110101011011001000
32021222220110211210000202
421123331330311123020
541111114423140022
61213530331151332
764565401210310
oct11337574653310
92258813753022
10648505677512
11230036603a90
12a58272a5548
13491ccc45234
142356034c440
1511d0843a592
hex96fdf356c8

648505677512 has 128 divisors (see below), whose sum is σ = 1551872424960. Its totient is φ = 246688485120.

The previous prime is 648505677511. The next prime is 648505677559. The reversal of 648505677512 is 215776505846.

It is a super-2 number, since 2×6485056775122 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (648505677511) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119802518 + ... + 119807930.

It is an arithmetic number, because the mean of its divisors is an integer number (12124003320).

Almost surely, 2648505677512 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 648505677512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775936212480).

648505677512 is an abundant number, since it is smaller than the sum of its proper divisors (903366747448).

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

648505677512 is a wasteful number, since it uses less digits than its factorization.

648505677512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10003 (or 9999 counting only the distinct ones).

The product of its (nonzero) digits is 14112000, while the sum is 56.

The spelling of 648505677512 in words is "six hundred forty-eight billion, five hundred five million, six hundred seventy-seven thousand, five hundred twelve".

Divisors: 1 2 4 7 8 11 14 22 28 43 44 56 77 86 88 154 172 301 308 344 473 602 616 946 1204 1892 2408 3311 3784 4523 5413 6622 9046 10826 13244 18092 21652 26488 31661 36184 37891 43304 49753 59543 63322 75782 99506 119086 126644 151564 194489 199012 232759 238172 253288 303128 348271 388978 398024 416801 465518 476344 696542 777956 833602 931036 1361423 1393084 1555912 1629313 1667204 1862072 2139379 2560349 2722846 2786168 3258626 3334408 4278758 5120698 5445692 6517252 8557516 10241396 10891384 13034504 14975653 17115032 17922443 20482792 24482999 29951306 35844886 48965998 59902612 71689772 97931996 119805224 143379544 171380993 195863992 269312989 342761986 538625978 685523972 1052768957 1077251956 1371047944 1885190923 2105537914 2154503912 3770381846 4211075828 7369382699 7540763692 8422151656 11580458527 14738765398 15081527384 23160917054 29477530796 46321834108 58955061592 81063209689 92643668216 162126419378 324252838756 648505677512