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1010068498452 = 22313471091126271
BaseRepresentation
bin11101011001011001100…
…01100010100000010100
310120120011102002010211010
432230230301202200110
5113022110013422302
62052004041212220
7132655303401636
oct16545461424024
93516142063733
101010068498452
1135a4053758a2
12143911a91070
137433121a230
1436c5d71aa56
151b41a65516c
hexeb2cc62814

1010068498452 has 96 divisors (see below), whose sum is σ = 2594519875584. Its totient is φ = 303896534400.

The previous prime is 1010068498427. The next prime is 1010068498457. The reversal of 1010068498452 is 2548948600101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010068498457) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 7936077 + ... + 8062347.

It is an arithmetic number, because the mean of its divisors is an integer number (27026248704).

Almost surely, 21010068498452 is an apocalyptic number.

1010068498452 is a gapful number since it is divisible by the number (12) 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 1010068498452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1297259937792).

1010068498452 is an abundant number, since it is smaller than the sum of its proper divisors (1584451377132).

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

1010068498452 is a wasteful number, since it uses less digits than its factorization.

1010068498452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127429 (or 127427 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The spelling of 1010068498452 in words is "one trillion, ten billion, sixty-eight million, four hundred ninety-eight thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 12 13 26 39 47 52 78 94 141 156 188 282 564 611 1091 1222 1833 2182 2444 3273 3666 4364 6546 7332 13092 14183 28366 42549 51277 56732 85098 102554 126271 153831 170196 205108 252542 307662 378813 505084 615324 666601 757626 1333202 1515252 1641523 1999803 2666404 3283046 3999606 4924569 5934737 6566092 7999212 9849138 11869474 17804211 19698276 23738948 35608422 71216844 77151581 137761661 154303162 231454743 275523322 308606324 413284983 462909486 551046644 826569966 925818972 1653139932 1790901593 3581803186 5372704779 6474798067 7163606372 10745409558 12949596134 19424394201 21490819116 25899192268 38848788402 77697576804 84172374871 168344749742 252517124613 336689499484 505034249226 1010068498452