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1494706920064 = 27438910728517
BaseRepresentation
bin10101110000000011011…
…110011001101010000000
312021220002200202211001221
4111300003132121222000
5143442124432420224
63102354152404424
7212663142122431
oct25600336315200
95256080684057
101494706920064
115269a10a9066
122018263a6714
13aac47940947
14524b66b7488
1528d3284e6e4
hex15c03799a80

1494706920064 has 128 divisors (see below), whose sum is σ = 3110127451200. Its totient is φ = 715000602624.

The previous prime is 1494706920061. The next prime is 1494706920067. The reversal of 1494706920064 is 4600296074941.

It is an interprime number because it is at equal distance from previous prime (1494706920061) and next prime (1494706920067).

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 1494706919993 and 1494706920020.

It is not an unprimeable number, because it can be changed into a prime (1494706920061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52400334 + ... + 52428850.

Almost surely, 21494706920064 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 1494706920064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1555063725600).

1494706920064 is an abundant number, since it is smaller than the sum of its proper divisors (1615420531136).

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

1494706920064 is a wasteful number, since it uses less digits than its factorization.

1494706920064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28770 (or 28758 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 52.

The spelling of 1494706920064 in words is "one trillion, four hundred ninety-four billion, seven hundred six million, nine hundred twenty thousand, sixty-four".

Divisors: 1 2 4 8 16 32 43 64 86 89 107 128 172 178 214 344 356 428 688 712 856 1376 1424 1712 2752 2848 3424 3827 4601 5504 5696 6848 7654 9202 9523 11392 13696 15308 18404 19046 28517 30616 36808 38092 57034 61232 73616 76184 114068 122464 147232 152368 228136 244928 294464 304736 409489 456272 489856 588928 609472 818978 912544 1218944 1226231 1637956 1825088 2452462 2538013 3051319 3275912 3650176 4904924 5076026 6102638 6551824 9809848 10152052 12205276 13103648 19619696 20304104 24410552 26207296 39239392 40608208 48821104 52414592 78478784 81216416 97642208 109134559 131206717 156957568 162432832 195284416 218269118 262413434 271567391 324865664 390568832 436538236 524826868 543134782 873076472 1049653736 1086269564 1746152944 2099307472 2172539128 3492305888 4198614944 4345078256 6984611776 8397229888 8690156512 11677397813 13969223552 16794459776 17380313024 23354795626 34760626048 46709591252 93419182504 186838365008 373676730016 747353460032 1494706920064