Search a number
-
+
2170023872604 = 223731937889373
BaseRepresentation
bin11111100100111111100…
…000001000100001011100
321200110012200202111010220
4133210333200020201130
5241023202102410404
64340521210401340
7312531133401450
oct37447740104134
97613180674126
102170023872604
117673359a3885
122b0694730250
1312982b429453
147705b77c660
153b6a99914d9
hex1f93f80885c

2170023872604 has 96 divisors (see below), whose sum is σ = 5979780796416. Its totient is φ = 599365578240.

The previous prime is 2170023872591. The next prime is 2170023872623. The reversal of 2170023872604 is 4062783200712.

It is a happy number.

It is a super-2 number, since 2×21700238726042 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 1995262 + ... + 2884634.

It is an arithmetic number, because the mean of its divisors is an integer number (62289383296).

Almost surely, 22170023872604 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 2170023872604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2989890398208).

2170023872604 is an abundant number, since it is smaller than the sum of its proper divisors (3809756923812).

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

2170023872604 is a wasteful number, since it uses less digits than its factorization.

2170023872604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890355 (or 890353 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The spelling of 2170023872604 in words is "two trillion, one hundred seventy billion, twenty-three million, eight hundred seventy-two thousand, six hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 124 186 217 372 434 651 868 937 1302 1874 2604 2811 3748 5622 6559 11244 13118 19677 26236 29047 39354 58094 78708 87141 116188 174282 203329 348564 406658 609987 813316 889373 1219974 1778746 2439948 2668119 3557492 5336238 6225611 10672476 12451222 18676833 24902444 27570563 37353666 55141126 74707332 82711689 110282252 165423378 192993941 330846756 385987882 578981823 771975764 833342501 1157963646 1666685002 2315927292 2500027503 3333370004 5000055006 5833397507 10000110012 11666795014 17500192521 23333590028 25833617531 35000385042 51667235062 70000770084 77500852593 103334470124 155001705186 180835322717 310003410372 361670645434 542505968151 723341290868 1085011936302 2170023872604