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1016566334140 = 2257137401132173
BaseRepresentation
bin11101100101100000001…
…00110100001010111100
310121011221020220101200011
432302300010310022330
5113123411440143030
62055000520313004
7133305314161210
oct16626004641274
93534836811604
101016566334140
1136213a214a35
12145026012764
1374b28490c16
14372b86ba940
151b69ad29b2a
hexecb01342bc

1016566334140 has 96 divisors (see below), whose sum is σ = 2463714900864. Its totient is φ = 345127526400.

The previous prime is 1016566334107. The next prime is 1016566334171. The reversal of 1016566334140 is 414336656101.

It is a super-2 number, since 2×10165663341402 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1016566334093 and 1016566334102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7625094 + ... + 7757266.

It is an arithmetic number, because the mean of its divisors is an integer number (25663696884).

Almost surely, 21016566334140 is an apocalyptic number.

1016566334140 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 1016566334140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1231857450432).

1016566334140 is an abundant number, since it is smaller than the sum of its proper divisors (1447148566724).

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

1016566334140 is a wasteful number, since it uses less digits than its factorization.

1016566334140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132727 (or 132725 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

The spelling of 1016566334140 in words is "one trillion, sixteen billion, five hundred sixty-six million, three hundred thirty-four thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 137 140 274 401 548 685 802 959 1370 1604 1918 2005 2740 2807 3836 4010 4795 5614 8020 9590 11228 14035 19180 28070 54937 56140 109874 132173 219748 264346 274685 384559 528692 549370 660865 769118 925211 1098740 1321730 1538236 1850422 1922795 2643460 3700844 3845590 4626055 7691180 9252110 18107701 18504220 36215402 53001373 72430804 90538505 106002746 126753907 181077010 212005492 253507814 265006865 362154020 371009611 507015628 530013730 633769535 742019222 1060027460 1267539070 1484038444 1855048055 2535078140 3710096110 7261188101 7420192220 14522376202 29044752404 36305940505 50828316707 72611881010 101656633414 145223762020 203313266828 254141583535 508283167070 1016566334140