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2557230327552 = 28314922347161
BaseRepresentation
bin100101001101100110110…
…011100010011100000000
3100001110122210000102121210
4211031212303202130000
5313344201430440202
65234435252450120
7352516360065345
oct45154663423400
910043583012553
102557230327552
118a657394244a
12353737319940
131571b83a0194
148bab07987cc
15467bd119c6c
hex25366ce2700

2557230327552 has 72 divisors (see below), whose sum is σ = 6851639869200. Its totient is φ = 846689198080.

The previous prime is 2557230327539. The next prime is 2557230327557.

2557230327552 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2557230327557) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11059149 + ... + 11288012.

It is an arithmetic number, because the mean of its divisors is an integer number (95161664850).

Almost surely, 22557230327552 is an apocalyptic number.

It is an amenable number.

2557230327552 is an abundant number, since it is smaller than the sum of its proper divisors (4294409541648).

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

2557230327552 is a wasteful number, since it uses less digits than its factorization.

2557230327552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22347329 (or 22347315 counting only the distinct ones).

The product of its (nonzero) digits is 4410000, while the sum is 48.

The spelling of 2557230327552 in words is "two trillion, five hundred fifty-seven billion, two hundred thirty million, three hundred twenty-seven thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 149 192 256 298 384 447 596 768 894 1192 1788 2384 3576 4768 7152 9536 14304 19072 28608 38144 57216 114432 22347161 44694322 67041483 89388644 134082966 178777288 268165932 357554576 536331864 715109152 1072663728 1430218304 2145327456 2860436608 3329726989 4290654912 5720873216 6659453978 8581309824 9989180967 13318907956 17162619648 19978361934 26637815912 39956723868 53275631824 79913447736 106551263648 159826895472 213102527296 319653790944 426205054592 639307581888 852410109184 1278615163776 2557230327552