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10270407042 = 233727170389
BaseRepresentation
bin10011001000010100…
…11111100110000010
3222111202120201212000
421210022133212002
5132013211011132
64415042244430
7512340006450
oct114412374602
928452521760
1010270407042
1143a0416905
121ba7656716
13c78a2663c
146d60319d0
154019c387c
hex26429f982

10270407042 has 32 divisors (see below), whose sum is σ = 26083574400. Its totient is φ = 2934401904.

The previous prime is 10270407029. The next prime is 10270407061. The reversal of 10270407042 is 24070407201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10270406997 and 10270407015.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13584817 + ... + 13585572.

It is an arithmetic number, because the mean of its divisors is an integer number (815111700).

Almost surely, 210270407042 is an apocalyptic number.

10270407042 is an abundant number, since it is smaller than the sum of its proper divisors (15813167358).

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

10270407042 is a wasteful number, since it uses less digits than its factorization.

10270407042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27170407 (or 27170401 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The spelling of 10270407042 in words is "ten billion, two hundred seventy million, four hundred seven thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 27170389 54340778 81511167 163022334 190192723 244533501 380385446 489067002 570578169 733600503 1141156338 1467201006 1711734507 3423469014 5135203521 10270407042