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160214226048 = 273439312
BaseRepresentation
bin1001010100110110000…
…0110001010010000000
3120022112121022221220000
42111031200301102000
510111104320213143
6201333522520000
714401154310642
oct2251540612200
9508477287800
10160214226048
1161a45832388
1227073506000
13121537651b6
147a7c15a892
15427a6a6bd3
hex254d831480

160214226048 has 120 divisors (see below), whose sum is σ = 476916262515. Its totient is φ = 53391156480.

The previous prime is 160214226043. The next prime is 160214226059. The reversal of 160214226048 is 840622412061.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

160214226048 is a `hidden beast` number, since 1 + 6 + 0 + 2 + 1 + 42 + 2 + 604 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 80107113024 + 80107113024 = 283032^2 + 283032^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=283032.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (160214226043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 40754643 + ... + 40758573.

Almost surely, 2160214226048 is an apocalyptic number.

160214226048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 160214226048

160214226048 is an abundant number, since it is smaller than the sum of its proper divisors (316702036467).

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

160214226048 is an frugal number, since it uses more digits than its factorization.

160214226048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7888 (or 3936 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 160214226048 in words is "one hundred sixty billion, two hundred fourteen million, two hundred twenty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2592 3456 3931 5184 7862 10368 11793 15724 23586 31448 35379 47172 62896 70758 94344 106137 125792 141516 188688 212274 251584 283032 318411 377376 424548 503168 566064 636822 754752 849096 1132128 1273644 1509504 1698192 2264256 2547288 3396384 4528512 5094576 6792768 10189152 13585536 15452761 20378304 30905522 40756608 46358283 61811044 92716566 123622088 139074849 185433132 247244176 278149698 370866264 417224547 494488352 556299396 741732528 834449094 988976704 1112598792 1251673641 1483465056 1668898188 1977953408 2225197584 2503347282 2966930112 3337796376 4450395168 5006694564 5933860224 6675592752 8900790336 10013389128 13351185504 17801580672 20026778256 26702371008 40053556512 53404742016 80107113024 160214226048