Search a number
-
+
20870163480 = 2335317277717
BaseRepresentation
bin10011011011111101…
…010110110000011000
31222212110220011010210
4103123331112300120
5320220230212410
613330532011120
71336116314445
oct233375266030
958773804123
1020870163480
11893a7327a1
124065460aa0
131c77a5587a
14101dab69cc
15822352220
hex4dbf56c18

20870163480 has 128 divisors (see below), whose sum is σ = 64727470080. Its totient is φ = 5377743360.

The previous prime is 20870163473. The next prime is 20870163487. The reversal of 20870163480 is 8436107802.

It is an interprime number because it is at equal distance from previous prime (20870163473) and next prime (20870163487).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20870163487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2700582 + ... + 2708298.

It is an arithmetic number, because the mean of its divisors is an integer number (505683360).

Almost surely, 220870163480 is an apocalyptic number.

20870163480 is a gapful number since it is divisible by the number (20) 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 20870163480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32363735040).

20870163480 is an abundant number, since it is smaller than the sum of its proper divisors (43857306600).

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

20870163480 is a wasteful number, since it uses less digits than its factorization.

20870163480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8489 (or 8485 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 20870163480 in words is "twenty billion, eight hundred seventy million, one hundred sixty-three thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 727 744 930 1240 1454 1860 2181 2908 3635 3720 4362 5816 7270 7717 8724 10905 14540 15434 17448 21810 22537 23151 29080 30868 38585 43620 45074 46302 61736 67611 77170 87240 90148 92604 112685 115755 135222 154340 180296 185208 225370 231510 239227 270444 308680 338055 450740 463020 478454 540888 676110 717681 901480 926040 956908 1196135 1352220 1435362 1913816 2392270 2704440 2870724 3588405 4784540 5610259 5741448 7176810 9569080 11220518 14353620 16830777 22441036 28051295 28707240 33661554 44882072 56102590 67323108 84153885 112205180 134646216 168307770 173918029 224410360 336615540 347836058 521754087 673231080 695672116 869590145 1043508174 1391344232 1739180290 2087016348 2608770435 3478360580 4174032696 5217540870 6956721160 10435081740 20870163480