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1049379555840 = 29357112377153
BaseRepresentation
bin11110100010100111110…
…01010100101000000000
310201022122001202202201120
433101103321110220000
5114143112131241330
62122024525432240
7135546414023460
oct17212371245000
93638561682646
101049379555840
11375048447080
1214b46310b680
1377c57632335
1438b0c5cbba0
151c46b900c10
hexf453e54a00

1049379555840 has 640 divisors, whose sum is σ = 4364432658432. Its totient is φ = 208569630720.

The previous prime is 1049379555821. The next prime is 1049379555869. The reversal of 1049379555840 is 485559739401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×10493795558402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13562704 + ... + 13639856.

Almost surely, 21049379555840 is an apocalyptic number.

1049379555840 is a gapful number since it is divisible by the number (10) 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 1049379555840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2182216329216).

1049379555840 is an abundant number, since it is smaller than the sum of its proper divisors (3315053102592).

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

1049379555840 is a wasteful number, since it uses less digits than its factorization.

1049379555840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77220 (or 77204 counting only the distinct ones).

The product of its (nonzero) digits is 27216000, while the sum is 60.

The spelling of 1049379555840 in words is "one trillion, forty-nine billion, three hundred seventy-nine million, five hundred fifty-five thousand, eight hundred forty".