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1054221640164 = 2233711126770279
BaseRepresentation
bin11110101011101001000…
…00011010000111100100
310201210010112000010201000
433111310200122013210
5114233021214441124
62124145220233300
7136110411042420
oct17256440320744
93653115003630
101054221640164
113771026a5760
1215039483b830
13785498500a4
143904b703b80
151c651a626c9
hexf57481a1e4

1054221640164 has 96 divisors (see below), whose sum is σ = 3407585126400. Its totient is φ = 273823800480.

The previous prime is 1054221640159. The next prime is 1054221640183. The reversal of 1054221640164 is 4610461224501.

1054221640164 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 2 + 2 + 1 + 640 + 1 + 6 + 4 = 666.

It is a super-2 number, since 2×10542216401642 (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63376824 + ... + 63393455.

It is an arithmetic number, because the mean of its divisors is an integer number (35495678400).

Almost surely, 21054221640164 is an apocalyptic number.

1054221640164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1054221640164 is an abundant number, since it is smaller than the sum of its proper divisors (2353363486236).

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

1054221640164 is a wasteful number, since it uses less digits than its factorization.

1054221640164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126770310 (or 126770302 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 1054221640164 its reverse (4610461224501), we get a palindrome (5664682864665).

The spelling of 1054221640164 in words is "one trillion, fifty-four billion, two hundred twenty-one million, six hundred forty thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 84 99 108 126 132 154 189 198 231 252 297 308 378 396 462 594 693 756 924 1188 1386 2079 2772 4158 8316 126770279 253540558 380310837 507081116 760621674 887391953 1140932511 1394473069 1521243348 1774783906 2281865022 2662175859 2788946138 3422797533 3549567812 4183419207 4563730044 5324351718 5577892276 6845595066 7986527577 8366838414 9761311483 10648703436 12550257621 13691190132 15973055154 16733676828 19522622966 23959582731 25100515242 29283934449 31946110308 37650772863 39045245932 47919165462 50201030484 58567868898 75301545726 87851803347 95838330924 117135737796 150603091452 175703606694 263555410041 351407213388 527110820082 1054221640164