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1042542267680 = 25519136719293
BaseRepresentation
bin11110010101111000101…
…11001000110100100000
310200122222120012112121202
433022330113020310200
5114040111310031210
62114534242540332
7135215112026654
oct17127427106440
93618876175552
101042542267680
11372159a27301
1214a0753676a8
1377407c592b4
1438660508a64
151c1bb5279a5
hexf2bc5c8d20

1042542267680 has 96 divisors (see below), whose sum is σ = 2476842375168. Its totient is φ = 414675942400.

The previous prime is 1042542267659. The next prime is 1042542267691. The reversal of 1042542267680 is 867622452401.

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 15 ways as a sum of consecutive naturals, for example, 112181114 + ... + 112190406.

It is an arithmetic number, because the mean of its divisors is an integer number (25800441408).

Almost surely, 21042542267680 is an apocalyptic number.

1042542267680 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 1042542267680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238421187584).

1042542267680 is an abundant number, since it is smaller than the sum of its proper divisors (1434300107488).

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

1042542267680 is a wasteful number, since it uses less digits than its factorization.

1042542267680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13170 (or 13162 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 47.

The spelling of 1042542267680 in words is "one trillion, forty-two billion, five hundred forty-two million, two hundred sixty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 191 382 764 955 1528 1910 3056 3671 3820 6112 7342 7640 9293 14684 15280 18355 18586 29368 30560 36710 37172 46465 58736 73420 74344 92930 117472 146840 148688 185860 293680 297376 371720 587360 701161 743440 1402322 1486880 1774963 2804644 3505805 3549926 5609288 7011610 7099852 8874815 11218576 14023220 14199704 17749630 22437152 28046440 28399408 34114603 35499260 56092880 56798816 68229206 70998520 112185760 136458412 141997040 170573015 272916824 283994080 341146030 545833648 682292060 1091667296 1364584120 2729168240 5458336480 6515889173 13031778346 26063556692 32579445865 52127113384 65158891730 104254226768 130317783460 208508453536 260635566920 521271133840 1042542267680