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55677018624 = 293411098111
BaseRepresentation
bin110011110110100110…
…111110001000000000
312022201020010121010220
4303312212332020000
51403011304043444
641324435423040
74010504564313
oct636646761000
9168636117126
1055677018624
1121681253187
12a95a154a80
135333c52546
1429a26a697a
1516ace7e619
hexcf69be200

55677018624 has 160 divisors (see below), whose sum is σ = 153357684480. Its totient is φ = 17938022400.

The previous prime is 55677018623. The next prime is 55677018667. The reversal of 55677018624 is 42681077655.

It is not an unprimeable number, because it can be changed into a prime (55677018623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6860329 + ... + 6868439.

It is an arithmetic number, because the mean of its divisors is an integer number (958485528).

Almost surely, 255677018624 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 55677018624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76678842240).

55677018624 is an abundant number, since it is smaller than the sum of its proper divisors (97680665856).

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

55677018624 is a wasteful number, since it uses less digits than its factorization.

55677018624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8282 (or 8266 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 51.

The spelling of 55677018624 in words is "fifty-five billion, six hundred seventy-seven million, eighteen thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 109 123 128 164 192 218 246 256 327 328 384 436 492 512 654 656 768 872 984 1308 1312 1536 1744 1968 2616 2624 3488 3936 4469 5232 5248 6976 7872 8111 8938 10464 10496 13407 13952 15744 16222 17876 20928 20992 24333 26814 27904 31488 32444 35752 41856 48666 53628 55808 62976 64888 71504 83712 97332 107256 129776 143008 167424 194664 214512 259552 286016 332551 389328 429024 519104 572032 665102 778656 858048 884099 997653 1038208 1144064 1330204 1557312 1716096 1768198 1995306 2076416 2288128 2652297 2660408 3114624 3432192 3536396 3990612 4152832 5304594 5320816 6229248 6864384 7072792 7981224 10609188 10641632 12458496 14145584 15962448 21218376 21283264 28291168 31924896 36248059 42436752 42566528 56582336 63849792 72496118 84873504 85133056 108744177 113164672 127699584 144992236 169747008 170266112 217488354 226329344 255399168 289984472 339494016 434976708 452658688 510798336 579968944 678988032 869953416 1159937888 1357976064 1739906832 2319875776 3479813664 4639751552 6959627328 9279503104 13919254656 18559006208 27838509312 55677018624