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54689607936 = 283229381013
BaseRepresentation
bin110010111011110000…
…010011000100000000
312020011102010221022200
4302323300103010000
51344001014423221
641042444033200
73644154666045
oct627360230400
9166142127280
1054689607936
1121214948997
12a723532800
135207502672
14290b4b51cc
151651438426
hexcbbc13100

54689607936 has 108 divisors (see below), whose sum is σ = 158223744588. Its totient is φ = 18167427072.

The previous prime is 54689607919. The next prime is 54689607977. The reversal of 54689607936 is 63970698645.

54689607936 is a `hidden beast` number, since 546 + 89 + 6 + 0 + 7 + 9 + 3 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 25702502400 + 28987105536 = 160320^2 + 170256^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 634566 + ... + 715578.

Almost surely, 254689607936 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 54689607936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79111872294).

54689607936 is an abundant number, since it is smaller than the sum of its proper divisors (103534136652).

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

54689607936 is a wasteful number, since it uses less digits than its factorization.

54689607936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81328 (or 81311 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 54689607936 in words is "fifty-four billion, six hundred eighty-nine million, six hundred seven thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 293 384 576 586 768 879 1152 1172 1758 2304 2344 2637 3516 4688 5274 7032 9376 10548 14064 18752 21096 28128 37504 42192 56256 75008 81013 84384 112512 162026 168768 225024 243039 324052 337536 486078 648104 675072 729117 972156 1296208 1458234 1944312 2592416 2916468 3888624 5184832 5832936 7777248 10369664 11665872 15554496 20739328 23331744 23736809 31108992 46663488 47473618 62217984 71210427 93326976 94947236 142420854 186653952 189894472 213631281 284841708 379788944 427262562 569683416 759577888 854525124 1139366832 1519155776 1709050248 2278733664 3038311552 3418100496 4557467328 6076623104 6836200992 9114934656 13672401984 18229869312 27344803968 54689607936