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5735371920 = 2435194130677
BaseRepresentation
bin1010101011101101…
…01101010010010000
3112210201010002012020
411111312231102100
543221223400140
62345040531440
7262061566635
oct52566552220
915721102166
105735371920
1124835168a3
121140920b80
137053040c5
143c5a0618c
152387b46d0
hex155dad490

5735371920 has 160 divisors (see below), whose sum is σ = 19172522880. Its totient is φ = 1413550080.

The previous prime is 5735371913. The next prime is 5735371927. The reversal of 5735371920 is 291735375.

It is an interprime number because it is at equal distance from previous prime (5735371913) and next prime (5735371927).

It is not an unprimeable number, because it can be changed into a prime (5735371927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 171622 + ... + 202298.

It is an arithmetic number, because the mean of its divisors is an integer number (119828268).

Almost surely, 25735371920 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 5735371920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9586261440).

5735371920 is an abundant number, since it is smaller than the sum of its proper divisors (13437150960).

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

5735371920 is a wasteful number, since it uses less digits than its factorization.

5735371920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30753 (or 30747 counting only the distinct ones).

The product of its (nonzero) digits is 198450, while the sum is 42.

The square root of 5735371920 is about 75732.2383136799. The cubic root of 5735371920 is about 1790.0034247721.

The spelling of 5735371920 in words is "five billion, seven hundred thirty-five million, three hundred seventy-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 41 48 57 60 76 80 82 95 114 120 123 152 164 190 205 228 240 246 285 304 328 380 410 456 492 570 615 656 760 779 820 912 984 1140 1230 1520 1558 1640 1968 2280 2337 2460 3116 3280 3895 4560 4674 4920 6232 7790 9348 9840 11685 12464 15580 18696 23370 30677 31160 37392 46740 61354 62320 92031 93480 122708 153385 184062 186960 245416 306770 368124 460155 490832 582863 613540 736248 920310 1165726 1227080 1257757 1472496 1748589 1840620 2331452 2454160 2515514 2914315 3497178 3681240 3773271 4662904 5031028 5828630 6288785 6994356 7362480 7546542 8742945 9325808 10062056 11657260 12577570 13988712 15093084 17485890 18866355 20124112 23314520 23897383 25155140 27977424 30186168 34971780 37732710 46629040 47794766 50310280 60372336 69943560 71692149 75465420 95589532 100620560 119486915 139887120 143384298 150930840 191179064 238973830 286768596 301861680 358460745 382358128 477947660 573537192 716921490 955895320 1147074384 1433842980 1911790640 2867685960 5735371920