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1125723616448 = 26192137355651
BaseRepresentation
bin10000011000011010010…
…110110011010011000000
310222121200121120212200212
4100120122112303103000
5121420440221211243
62221052243533252
7144221323600604
oct20303226632300
93877617525625
101125723616448
113a44646a7842
1216220a68a228
13822031cc3b2
143c6b19b5504
151e438e5d318
hex1061a5b34c0

1125723616448 has 84 divisors (see below), whose sum is σ = 2374832798712. Its totient is φ = 529343769600.

The previous prime is 1125723616447. The next prime is 1125723616469. The reversal of 1125723616448 is 8446163275211.

It is a happy number.

It is a super-2 number, since 2×11257236164482 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1125723616396 and 1125723616405.

It is not an unprimeable number, because it can be changed into a prime (1125723616447) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2987423 + ... + 3343073.

Almost surely, 21125723616448 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 1125723616448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1187416399356).

1125723616448 is an abundant number, since it is smaller than the sum of its proper divisors (1249109182264).

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

1125723616448 is a wasteful number, since it uses less digits than its factorization.

1125723616448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355838 (or 355809 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 50.

The spelling of 1125723616448 in words is "one trillion, one hundred twenty-five billion, seven hundred twenty-three million, six hundred sixteen thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 19 32 38 64 76 137 152 274 304 361 548 608 722 1096 1216 1444 2192 2603 2888 4384 5206 5776 8768 10412 11552 20824 23104 41648 49457 83296 98914 166592 197828 355651 395656 711302 791312 1422604 1582624 2845208 3165248 5690416 6757369 11380832 13514738 22761664 27029476 48724187 54058952 97448374 108117904 128390011 194896748 216235808 256780022 389793496 432471616 513560044 779586992 925759553 1027120088 1559173984 1851519106 2054240176 3118347968 3703038212 4108480352 7406076424 8216960704 14812152848 17589431507 29624305696 35178863014 59248611392 70357726028 140715452056 281430904112 562861808224 1125723616448