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4971099120 = 2435134138861
BaseRepresentation
bin1001010000100110…
…01111001111110000
3110211110000000000020
410220103033033300
540140100132440
62141135523440
7234121434231
oct45023171760
913743000006
104971099120
112121068389
12b68989580
13612b7cc90
143522db088
151e16483d0
hex1284cf3f0

4971099120 has 160 divisors (see below), whose sum is σ = 17001036864. Its totient is φ = 1193779200.

The previous prime is 4971099109. The next prime is 4971099131. The reversal of 4971099120 is 219901794.

It is an interprime number because it is at equal distance from previous prime (4971099109) and next prime (4971099131).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108490 + ... + 147350.

Almost surely, 24971099120 is an apocalyptic number.

4971099120 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 4971099120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8500518432).

4971099120 is an abundant number, since it is smaller than the sum of its proper divisors (12029937744).

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

4971099120 is a wasteful number, since it uses less digits than its factorization.

4971099120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38931 (or 38925 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 42.

The square root of 4971099120 is about 70506.0218704757. The cubic root of 4971099120 is about 1706.6749243443.

The spelling of 4971099120 in words is "four billion, nine hundred seventy-one million, ninety-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 41 48 52 60 65 78 80 82 104 120 123 130 156 164 195 205 208 240 246 260 312 328 390 410 492 520 533 615 624 656 780 820 984 1040 1066 1230 1560 1599 1640 1968 2132 2460 2665 3120 3198 3280 4264 4920 5330 6396 7995 8528 9840 10660 12792 15990 21320 25584 31980 38861 42640 63960 77722 116583 127920 155444 194305 233166 310888 388610 466332 505193 582915 621776 777220 932664 1010386 1165830 1515579 1554440 1593301 1865328 2020772 2331660 2525965 3031158 3108880 3186602 4041544 4663320 4779903 5051930 6062316 6373204 7577895 7966505 8083088 9326640 9559806 10103860 12124632 12746408 15155790 15933010 19119612 20207720 20712913 23899515 24249264 25492816 30311580 31866020 38239224 40415440 41425826 47799030 60623160 62138739 63732040 76478448 82851652 95598060 103564565 121246320 124277478 127464080 165703304 191196120 207129130 248554956 310693695 331406608 382392240 414258260 497109912 621387390 828516520 994219824 1242774780 1657033040 2485549560 4971099120