Search a number
-
+
210968562720 = 25352771586707
BaseRepresentation
bin1100010001111010110…
…1001100110000100000
3202011112202120101220010
43010132231030300200
511424030423001340
6240530112244520
721145666123656
oct3043655146040
9664482511803
10210968562720
1181520287773
1234a78b40740
1316b8188a586
14a2d4b2add6
15574b3a3b80
hex311eb4cc20

210968562720 has 96 divisors (see below), whose sum is σ = 666950493888. Its totient is φ = 56055149568.

The previous prime is 210968562713. The next prime is 210968562731. The reversal of 210968562720 is 27265869012.

210968562720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×2109685627202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 210968562720.

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, 660394 + ... + 926313.

It is an arithmetic number, because the mean of its divisors is an integer number (6947400978).

Almost surely, 2210968562720 is an apocalyptic number.

210968562720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210968562720 is an abundant number, since it is smaller than the sum of its proper divisors (455981931168).

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

210968562720 is a wasteful number, since it uses less digits than its factorization.

210968562720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1587002 (or 1586994 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 210968562720 in words is "two hundred ten billion, nine hundred sixty-eight million, five hundred sixty-two thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 277 480 554 831 1108 1385 1662 2216 2770 3324 4155 4432 5540 6648 8310 8864 11080 13296 16620 22160 26592 33240 44320 66480 132960 1586707 3173414 4760121 6346828 7933535 9520242 12693656 15867070 19040484 23800605 25387312 31734140 38080968 47601210 50774624 63468280 76161936 95202420 126936560 152323872 190404840 253873120 380809680 439517839 761619360 879035678 1318553517 1758071356 2197589195 2637107034 3516142712 4395178390 5274214068 6592767585 7032285424 8790356780 10548428136 13185535170 14064570848 17580713560 21096856272 26371070340 35161427120 42193712544 52742140680 70322854240 105484281360 210968562720