Search a number
-
+
1703146986064 = 2419291071805497
BaseRepresentation
bin11000110010001011011…
…110001001101001010000
320000211010020112021112101
4120302023132021221100
5210401021112023224
63342225342410144
7234022366343026
oct30621336115120
96024106467471
101703146986064
115a7334088817
122360b8590954
13c47b57020c4
145c60b696716
152e481c49044
hex18c8b789a50

1703146986064 has 80 divisors (see below), whose sum is σ = 3626884382400. Its totient is φ = 771654546432.

The previous prime is 1703146986053. The next prime is 1703146986173. The reversal of 1703146986064 is 4606896413071.

It is a super-2 number, since 2×17031469860642 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1703146985996 and 1703146986014.

It is a congruent number.

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, 40564 + ... + 1846060.

It is an arithmetic number, because the mean of its divisors is an integer number (45336054780).

Almost surely, 21703146986064 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 1703146986064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1813442191200).

1703146986064 is an abundant number, since it is smaller than the sum of its proper divisors (1923737396336).

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

1703146986064 is a wasteful number, since it uses less digits than its factorization.

1703146986064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1805660 (or 1805654 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 55.

The spelling of 1703146986064 in words is "one trillion, seven hundred three billion, one hundred forty-six million, nine hundred eighty-six thousand, sixty-four".

Divisors: 1 2 4 8 16 19 29 38 58 76 107 116 152 214 232 304 428 464 551 856 1102 1712 2033 2204 3103 4066 4408 6206 8132 8816 12412 16264 24824 32528 49648 58957 117914 235828 471656 943312 1805497 3610994 7221988 14443976 28887952 34304443 52359413 68608886 104718826 137217772 193188179 209437652 274435544 386376358 418875304 548871088 772752716 837750608 994828847 1545505432 1989657694 3091010864 3670575401 3979315388 5602457191 7341150802 7958630776 11204914382 14682301604 15917261552 22409828764 29364603208 44819657528 58729206416 89639315056 106446686629 212893373258 425786746516 851573493032 1703146986064