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2056056552 = 2332113770163
BaseRepresentation
bin111101010001100…
…1110111011101000
312022021211111100200
41322203032323220
513202322302202
6540004232200
7101644122654
oct17243167350
95267744320
102056056552
119656547a0
1249469b660
13269c73414
141570cba64
15c0786e1c
hex7a8ceee8

2056056552 has 96 divisors (see below), whose sum is σ = 6238982880. Its totient is φ = 606199680.

The previous prime is 2056056547. The next prime is 2056056677. The reversal of 2056056552 is 2556506502.

2056056552 is a `hidden beast` number, since 2 + 0 + 56 + 0 + 56 + 552 = 666.

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

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, 5778 + ... + 64385.

It is an arithmetic number, because the mean of its divisors is an integer number (64989405).

Almost surely, 22056056552 is an apocalyptic number.

2056056552 is a gapful number since it is divisible by the number (22) 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 2056056552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3119491440).

2056056552 is an abundant number, since it is smaller than the sum of its proper divisors (4182926328).

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

2056056552 is a wasteful number, since it uses less digits than its factorization.

2056056552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70223 (or 70216 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The square root of 2056056552 is about 45343.7597911774. The cubic root of 2056056552 is about 1271.5838943927.

The spelling of 2056056552 in words is "two billion, fifty-six million, fifty-six thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 37 44 66 72 74 88 99 111 132 148 198 222 264 296 333 396 407 444 666 792 814 888 1221 1332 1628 2442 2664 3256 3663 4884 7326 9768 14652 29304 70163 140326 210489 280652 420978 561304 631467 771793 841956 1262934 1543586 1683912 2315379 2525868 2596031 3087172 4630758 5051736 5192062 6174344 6946137 7788093 9261516 10384124 13892274 15576186 18523032 20768248 23364279 27784548 28556341 31152372 46728558 55569096 57112682 62304744 85669023 93457116 114225364 171338046 186914232 228450728 257007069 342676092 514014138 685352184 1028028276 2056056552