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2506308096 = 29317531811
BaseRepresentation
bin1001010101100011…
…0011101000000000
320110200001122100210
42111120303220000
520113103324341
61052410514120
7116052160455
oct22530635000
96420048323
102506308096
111076822406
1259b435940
1330c32a756
1419ac1382c
15ea074c16
hex95633a00

2506308096 has 160 divisors (see below), whose sum is σ = 7207092288. Its totient is φ = 771031040.

The previous prime is 2506308073. The next prime is 2506308121. The reversal of 2506308096 is 6908036052.

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, 1383031 + ... + 1384841.

Almost surely, 22506308096 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 2506308096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3603546144).

2506308096 is an abundant number, since it is smaller than the sum of its proper divisors (4700784192).

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

2506308096 is a wasteful number, since it uses less digits than its factorization.

2506308096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1902 (or 1886 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 2506308096 is about 50063.0412180483. The cubic root of 2506308096 is about 1358.3493699923.

The spelling of 2506308096 in words is "two billion, five hundred six million, three hundred eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 53 64 68 96 102 106 128 136 159 192 204 212 256 272 318 384 408 424 512 544 636 768 816 848 901 1088 1272 1536 1632 1696 1802 1811 2176 2544 2703 3264 3392 3604 3622 4352 5088 5406 5433 6528 6784 7208 7244 8704 10176 10812 10866 13056 13568 14416 14488 20352 21624 21732 26112 27136 28832 28976 30787 40704 43248 43464 57664 57952 61574 81408 86496 86928 92361 95983 115328 115904 123148 172992 173856 184722 191966 230656 231808 246296 287949 345984 347712 369444 383932 461312 463616 492592 575898 691968 695424 738888 767864 927232 985184 1151796 1383936 1390848 1477776 1535728 1631711 1970368 2303592 2781696 2955552 3071456 3263422 3940736 4607184 4895133 5911104 6142912 6526844 7881472 9214368 9790266 11822208 12285824 13053688 15762944 18428736 19580532 23644416 24571648 26107376 36857472 39161064 47288832 49143296 52214752 73714944 78322128 104429504 147429888 156644256 208859008 313288512 417718016 626577024 835436032 1253154048 2506308096