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1101998055456 = 25324657821641
BaseRepresentation
bin10000000010010100001…
…100111110000000100000
310220100110010202111112200
4100002110030332000200
5121023343000233311
62202130110453200
7142421352630054
oct20022414760040
93810403674480
101101998055456
1139539a19a6a1
121596a8b04200
137cbc1a214cc
143b4a09b7c64
151d9eb0cc556
hex1009433e020

1101998055456 has 72 divisors (see below), whose sum is σ = 3134483709084. Its totient is φ = 367253360640.

The previous prime is 1101998055449. The next prime is 1101998055467. The reversal of 1101998055456 is 6545508991011.

It is a happy number.

1101998055456 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 9 + 9 + 80 + 554 + 5 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1100157645456 + 1840410000 = 1048884^2 + 42900^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 930396 + ... + 1752036.

Almost surely, 21101998055456 is an apocalyptic number.

1101998055456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1101998055456 is an abundant number, since it is smaller than the sum of its proper divisors (2032485653628).

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

1101998055456 is a wasteful number, since it uses less digits than its factorization.

1101998055456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826314 (or 826303 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 54.

The spelling of 1101998055456 in words is "one trillion, one hundred one billion, nine hundred ninety-eight million, fifty-five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 4657 9314 13971 18628 27942 37256 41913 55884 74512 83826 111768 149024 167652 223536 335304 447072 670608 821641 1341216 1643282 2464923 3286564 4929846 6573128 7394769 9859692 13146256 14789538 19719384 26292512 29579076 39438768 59158152 78877536 118316304 236632608 3826382137 7652764274 11479146411 15305528548 22958292822 30611057096 34437439233 45916585644 61222114192 68874878466 91833171288 122444228384 137749756932 183666342576 275499513864 367332685152 550999027728 1101998055456