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1023257109248 = 28111627223339
BaseRepresentation
bin11101110001111101110…
…00000110001100000000
310121211012112202222122122
432320332320012030000
5113231112304443443
62102024451023412
7133633156630163
oct16707670061400
93554175688578
101023257109248
11364a62a64340
1214639289ab68
13756536b924a
1437751141ada
151b93d411968
hexee3ee06300

1023257109248 has 72 divisors (see below), whose sum is σ = 2229579992640. Its totient is φ = 464828912640.

The previous prime is 1023257109227. The next prime is 1023257109253. The reversal of 1023257109248 is 8429017523201.

It is a super-2 number, since 2×10232571092482 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 1023257109199 and 1023257109208.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4469963 + ... + 4693301.

Almost surely, 21023257109248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1023257109248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1114789996320).

1023257109248 is an abundant number, since it is smaller than the sum of its proper divisors (1206322883392).

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

1023257109248 is a wasteful number, since it uses less digits than its factorization.

1023257109248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224993 (or 224979 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 44.

The spelling of 1023257109248 in words is "one trillion, twenty-three billion, two hundred fifty-seven million, one hundred nine thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 704 1408 1627 2816 3254 6508 13016 17897 26032 35794 52064 71588 104128 143176 208256 223339 286352 416512 446678 572704 893356 1145408 1786712 2290816 2456729 3573424 4581632 4913458 7146848 9826916 14293696 19653832 28587392 39307664 57174784 78615328 157230656 314461312 363372553 628922624 726745106 1453490212 2906980424 3997098083 5813960848 7994196166 11627921696 15988392332 23255843392 31976784664 46511686784 63953569328 93023373568 127907138656 255814277312 511628554624 1023257109248