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2555661328 = 241123197439
BaseRepresentation
bin1001100001010100…
…0100110000010000
320121002221001021021
42120111010300100
520213222130303
61101332405224
7120221522443
oct23025046020
96532831237
102555661328
1110a1671200
125b3a76814
1331961a64c
141a35bd65a
15ee572ebd
hex98544c10

2555661328 has 120 divisors (see below), whose sum is σ = 5689080320. Its totient is φ = 1110067200.

The previous prime is 2555661313. The next prime is 2555661341. The reversal of 2555661328 is 8231665552.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5821333 + ... + 5821771.

Almost surely, 22555661328 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 2555661328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2844540160).

2555661328 is an abundant number, since it is smaller than the sum of its proper divisors (3133418992).

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

2555661328 is a wasteful number, since it uses less digits than its factorization.

2555661328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 580 counting only the distinct ones).

The product of its digits is 432000, while the sum is 43.

The square root of 2555661328 is about 50553.5491137863. The cubic root of 2555661328 is about 1367.2075052632.

The spelling of 2555661328 in words is "two billion, five hundred fifty-five million, six hundred sixty-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 97 121 124 176 194 242 248 341 388 439 484 496 682 776 878 968 1067 1364 1552 1756 1936 2134 2728 3007 3512 3751 4268 4829 5456 6014 7024 7502 8536 9658 11737 12028 13609 15004 17072 19316 23474 24056 27218 30008 33077 38632 42583 46948 48112 53119 54436 60016 66154 77264 85166 93896 106238 108872 132308 149699 170332 187792 212476 217744 264616 299398 340664 363847 424952 468413 529232 598796 681328 727694 849904 936826 1197592 1320073 1455388 1646689 1873652 2395184 2640146 2910776 3293378 3747304 5152543 5280292 5821552 6586756 7494608 10305086 10560584 13173512 14520803 20610172 21121168 26347024 29041606 41220344 58083212 82440688 116166424 159728833 232332848 319457666 638915332 1277830664 2555661328