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4937172480 = 2933571429
BaseRepresentation
bin1001001100100011…
…10100011000000000
3110202002011100102000
410212101310120000
540102404004410
62133524424000
7233230162602
oct44621643000
913662140360
104937172480
1121039a5839
12b59548000
13608b31946
1434b9c9172
151dd695dc0
hex126474600

4937172480 has 160 divisors (see below), whose sum is σ = 17537493600. Its totient is φ = 1316560896.

The previous prime is 4937172473. The next prime is 4937172503. The reversal of 4937172480 is 842717394.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33406 + ... + 104834.

It is an arithmetic number, because the mean of its divisors is an integer number (109609335).

Almost surely, 24937172480 is an apocalyptic number.

4937172480 is a gapful number since it is divisible by the number (40) 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 4937172480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8768746800).

4937172480 is an abundant number, since it is smaller than the sum of its proper divisors (12600321120).

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

4937172480 is an equidigital number, since it uses as much as digits as its factorization.

4937172480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71461 (or 71439 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 4937172480 is about 70265.0160463940. The cubic root of 4937172480 is about 1702.7834999178.

The spelling of 4937172480 in words is "four billion, nine hundred thirty-seven million, one hundred seventy-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 256 270 288 320 360 384 432 480 512 540 576 640 720 768 864 960 1080 1152 1280 1440 1536 1728 1920 2160 2304 2560 2880 3456 3840 4320 4608 5760 6912 7680 8640 11520 13824 17280 23040 34560 69120 71429 142858 214287 285716 357145 428574 571432 642861 714290 857148 1071435 1142864 1285722 1428580 1714296 1928583 2142870 2285728 2571444 2857160 3214305 3428592 3857166 4285740 4571456 5142888 5714320 6428610 6857184 7714332 8571480 9142912 9642915 10285776 11428640 12857220 13714368 15428664 17142960 18285824 19285830 20571552 22857280 25714440 27428736 30857328 34285920 36571648 38571660 41143104 45714560 51428880 54857472 61714656 68571840 77143320 82286208 91429120 102857760 109714944 123429312 137143680 154286640 164572416 182858240 205715520 246858624 274287360 308573280 329144832 411431040 493717248 548574720 617146560 822862080 987434496 1234293120 1645724160 2468586240 4937172480