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20034532320 = 2535113794419
BaseRepresentation
bin10010101010001001…
…101011001111100000
31220201020111200200120
4102222021223033200
5312012320013240
613112001320240
71306321500135
oct225211531740
956636450616
1020034532320
118550a75730
123a71636080
131b738a886a
14d80b1458c
157c3cdcad0
hex4aa26b3e0

20034532320 has 96 divisors (see below), whose sum is σ = 68845956480. Its totient is φ = 4856855040.

The previous prime is 20034532319. The next prime is 20034532361. The reversal of 20034532320 is 2323543002.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×200345323202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 1891930 + ... + 1902489.

It is an arithmetic number, because the mean of its divisors is an integer number (717145380).

Almost surely, 220034532320 is an apocalyptic number.

20034532320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20034532320 is an abundant number, since it is smaller than the sum of its proper divisors (48811424160).

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

20034532320 is a wasteful number, since it uses less digits than its factorization.

20034532320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3794448 (or 3794440 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 24.

The spelling of 20034532320 in words is "twenty billion, thirty-four million, five hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 3794419 7588838 11383257 15177676 18972095 22766514 30355352 37944190 41738609 45533028 56916285 60710704 75888380 83477218 91066056 113832570 121421408 125215827 151776760 166954436 182132112 208693045 227665140 250431654 303553520 333908872 364264224 417386090 455330280 500863308 607107040 626079135 667817744 834772180 910660560 1001726616 1252158270 1335635488 1669544360 1821321120 2003453232 2504316540 3339088720 4006906464 5008633080 6678177440 10017266160 20034532320