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2032096704 = 263115631709
BaseRepresentation
bin111100100011111…
…0101010111000000
312020121202012121220
41321013311113000
513130204043304
6533350515040
7101233352121
oct17107652700
95217665556
102032096704
1195307a370
12488665a80
132650047b1
14153c52048
15bd602ad9
hex791f55c0

2032096704 has 112 divisors (see below), whose sum is σ = 5879226240. Its totient is φ = 614333440.

The previous prime is 2032096679. The next prime is 2032096723. The reversal of 2032096704 is 4076902302.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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, 1188202 + ... + 1189910.

Almost surely, 22032096704 is an apocalyptic number.

2032096704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2032096704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2939613120).

2032096704 is an abundant number, since it is smaller than the sum of its proper divisors (3847129536).

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

2032096704 is a wasteful number, since it uses less digits than its factorization.

2032096704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2298 (or 2288 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 2032096704 is about 45078.7833021256. The cubic root of 2032096704 is about 1266.6251987656.

The spelling of 2032096704 in words is "two billion, thirty-two million, ninety-six thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 563 704 1056 1126 1689 1709 2112 2252 3378 3418 4504 5127 6193 6756 6836 9008 10254 12386 13512 13672 18016 18579 18799 20508 24772 27024 27344 36032 37158 37598 41016 49544 54048 54688 56397 74316 75196 82032 99088 108096 109376 112794 148632 150392 164064 198176 225588 297264 300784 328128 396352 451176 594528 601568 902352 962167 1189056 1203136 1804704 1924334 2886501 3609408 3848668 5773002 7697336 10583837 11546004 15394672 21167674 23092008 30789344 31751511 42335348 46184016 61578688 63503022 84670696 92368032 127006044 169341392 184736064 254012088 338682784 508024176 677365568 1016048352 2032096704