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1153225033504 = 252310311519769
BaseRepresentation
bin10000110010000001100…
…100011000011100100000
311002020200020100121121221
4100302001210120130200
5122343301102033004
62241441222424424
7146213664022225
oct20620144303440
94066606317557
101153225033504
11405097515495
12167604892114
1384996a4003b
143db6025b94c
151eee853b354
hex10c81918720

1153225033504 has 48 divisors (see below), whose sum is σ = 2371424791680. Its totient is φ = 551007086080.

The previous prime is 1153225033501. The next prime is 1153225033537. The reversal of 1153225033504 is 4053305223511.

It is a self number, because there is not a number n which added to its sum of digits gives 1153225033504.

It is not an unprimeable number, because it can be changed into a prime (1153225033501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1069 + ... + 1518700.

It is an arithmetic number, because the mean of its divisors is an integer number (49404683160).

Almost surely, 21153225033504 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 1153225033504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1185712395840).

1153225033504 is an abundant number, since it is smaller than the sum of its proper divisors (1218199758176).

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

1153225033504 is a wasteful number, since it uses less digits than its factorization.

1153225033504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520833 (or 1520825 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 34.

The spelling of 1153225033504 in words is "one trillion, one hundred fifty-three billion, two hundred twenty-five million, thirty-three thousand, five hundred four".

Divisors: 1 2 4 8 16 23 32 46 92 184 368 736 1031 2062 4124 8248 16496 23713 32992 47426 94852 189704 379408 758816 1519769 3039538 6079076 12158152 24316304 34954687 48632608 69909374 139818748 279637496 559274992 1118549984 1566881839 3133763678 6267527356 12535054712 25070109424 36038282297 50140218848 72076564594 144153129188 288306258376 576612516752 1153225033504