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1005414545030 = 257291553318917
BaseRepresentation
bin11101010000101110110…
…00000111011010000110
310120010011001211210220212
432220113120013122012
5112433042110420110
62045514150555422
7132432052424420
oct16502730073206
93503131753825
101005414545030
113584373327a5
12142a33368b72
1373a6bc8c23c
143693b5b7810
151b246ca5e05
hexea17607686

1005414545030 has 64 divisors (see below), whose sum is σ = 2140985831040. Its totient is φ = 332611528704.

The previous prime is 1005414544993. The next prime is 1005414545041. The reversal of 1005414545030 is 305454145001.

It is a congruent number.

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, 2993132 + ... + 3312048.

It is an arithmetic number, because the mean of its divisors is an integer number (33452903610).

Almost surely, 21005414545030 is an apocalyptic number.

1005414545030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1005414545030 is an abundant number, since it is smaller than the sum of its proper divisors (1135571286010).

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

1005414545030 is a wasteful number, since it uses less digits than its factorization.

1005414545030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320513.

The product of its (nonzero) digits is 24000, while the sum is 32.

The spelling of 1005414545030 in words is "one trillion, five billion, four hundred fourteen million, five hundred forty-five thousand, thirty".

Divisors: 1 2 5 7 10 14 29 35 58 70 145 203 290 406 1015 1553 2030 3106 7765 10871 15530 21742 45037 54355 90074 108710 225185 315259 318917 450370 630518 637834 1576295 1594585 2232419 3152590 3189170 4464838 9248593 11162095 18497186 22324190 46242965 64740151 92485930 129480302 323700755 495278101 647401510 990556202 2476390505 3466946707 4952781010 6933893414 14363064929 17334733535 28726129858 34669467070 71815324645 100541454503 143630649290 201082909006 502707272515 1005414545030