Search a number
-
+
386914934016 = 28321312917833
BaseRepresentation
bin1011010000101011110…
…11010101110100000000
31100222200202201010221100
411220111323111310000
522314400210342031
6453425105454400
736645053450412
oct5502573256400
91328622633840
10386914934016
1113a0a9436686
1262ba1041400
132a641754450
1414a264129b2
15a0e7c91de6
hex5a15ed5d00

386914934016 has 108 divisors (see below), whose sum is σ = 1201384397668. Its totient is φ = 119050739712.

The previous prime is 386914934009. The next prime is 386914934059. The reversal of 386914934016 is 610439419683.

386914934016 is a `hidden beast` number, since 38 + 69 + 149 + 3 + 401 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 175594521600 + 211320412416 = 419040^2 + 459696^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6428965 + ... + 6488868.

Almost surely, 2386914934016 is an apocalyptic number.

386914934016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

386914934016 is an abundant number, since it is smaller than the sum of its proper divisors (814469463652).

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

386914934016 is a wasteful number, since it uses less digits than its factorization.

386914934016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12917868 (or 12917851 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 386914934016 in words is "three hundred eighty-six billion, nine hundred fourteen million, nine hundred thirty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 576 624 768 832 936 1152 1248 1664 1872 2304 2496 3328 3744 4992 7488 9984 14976 29952 12917833 25835666 38753499 51671332 77506998 103342664 116260497 155013996 167931829 206685328 232520994 310027992 335863658 413370656 465041988 503795487 620055984 671727316 826741312 930083976 1007590974 1240111968 1343454632 1511386461 1653482624 1860167952 2015181948 2480223936 2686909264 3022772922 3306965248 3720335904 4030363896 4960447872 5373818528 6045545844 7440671808 8060727792 9920895744 10747637056 12091091688 14881343616 16121455584 21495274112 24182183376 29762687232 32242911168 42990548224 48364366752 64485822336 96728733504 128971644672 193457467008 386914934016