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1055991168 = 2734179569
BaseRepresentation
bin111110111100010…
…010010110000000
32201121000220120000
4332330102112000
54130313204133
6252441320000
735111530311
oct7674222600
92647026500
101055991168
114a2096881
12255796000
1313aa1255b
14a0364608
1562a91413
hex3ef12580

1055991168 has 160 divisors (see below), whose sum is σ = 3165723000. Its totient is φ = 349415424.

The previous prime is 1055991163. The next prime is 1055991197. The reversal of 1055991168 is 8611995501.

1055991168 is a `hidden beast` number, since 1 + 0 + 559 + 91 + 1 + 6 + 8 = 666.

It is a super-2 number, since 2×10559911682 = 2230234693788008448, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1055991163) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1855588 + ... + 1856156.

Almost surely, 21055991168 is an apocalyptic number.

1055991168 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 1055991168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1582861500).

1055991168 is an abundant number, since it is smaller than the sum of its proper divisors (2109731832).

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

1055991168 is an equidigital number, since it uses as much as digits as its factorization.

1055991168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 45.

The square root of 1055991168 is about 32496.0177252537. The cubic root of 1055991168 is about 1018.3258349471.

The spelling of 1055991168 in words is "one billion, fifty-five million, nine hundred ninety-one thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 179 192 216 288 324 358 384 432 537 569 576 648 716 864 1074 1138 1152 1296 1432 1611 1707 1728 2148 2276 2592 2864 3222 3414 3456 4296 4552 4833 5121 5184 5728 6444 6828 8592 9104 9666 10242 10368 11456 12888 13656 14499 15363 17184 18208 19332 20484 22912 25776 27312 28998 30726 34368 36416 38664 40968 46089 51552 54624 57996 61452 68736 72832 77328 81936 92178 101851 103104 109248 115992 122904 154656 163872 184356 203702 206208 218496 231984 245808 305553 309312 327744 368712 407404 463968 491616 611106 618624 655488 737424 814808 916659 927936 983232 1222212 1474848 1629616 1833318 1855872 1966464 2444424 2749977 2949696 3259232 3666636 4888848 5499954 5899392 6518464 7333272 8249931 9777696 10999908 13036928 14666544 16499862 19555392 21999816 29333088 32999724 39110784 43999632 58666176 65999448 87999264 117332352 131998896 175998528 263997792 351997056 527995584 1055991168