Search a number
-
+
2073916680352 = 2511294715128627
BaseRepresentation
bin11110001011011111000…
…100010010100010100000
321100021010211010021012221
4132023133010102202200
5232434340132232402
64224424424000424
7302556405630616
oct36133704224240
97307124107187
102073916680352
1172a5a7998870
12295b32600114
1312075327a05a
147254172b6b6
1538e323a6337
hex1e2df1128a0

2073916680352 has 192 divisors, whose sum is σ = 4737169059840. Its totient is φ = 884886912000.

The previous prime is 2073916680313. The next prime is 2073916680361. The reversal of 2073916680352 is 2530866193702.

It is a super-2 number, since 2×20739166803522 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2073916680352.

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, 72431863 + ... + 72460489.

It is an arithmetic number, because the mean of its divisors is an integer number (24672755520).

Almost surely, 22073916680352 is an apocalyptic number.

2073916680352 is a gapful number since it is divisible by the number (22) 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 2073916680352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2368584529920).

2073916680352 is an abundant number, since it is smaller than the sum of its proper divisors (2663252379488).

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

2073916680352 is a wasteful number, since it uses less digits than its factorization.

2073916680352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28875 (or 28867 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 52.

The spelling of 2073916680352 in words is "two trillion, seventy-three billion, nine hundred sixteen million, six hundred eighty thousand, three hundred fifty-two".