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1396386693072 = 2432712011153459
BaseRepresentation
bin10100010100011111001…
…000011111111111010000
311221111022120220210012100
4110110133020133333100
5140334244443134242
62545254033000400
7202612523023350
oct24243710377720
94844276823170
101396386693072
11499227980318
121a67670b3100
13a18a9147c37
144b82a794b60
15264cad2054c
hex1451f21ffd0

1396386693072 has 120 divisors (see below), whose sum is σ = 4469943558080. Its totient is φ = 398635084800.

The previous prime is 1396386693043. The next prime is 1396386693073. The reversal of 1396386693072 is 2703966836931.

1396386693072 is a `hidden beast` number, since 1 + 396 + 38 + 66 + 93 + 0 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1396386693073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 633879 + ... + 1787337.

Almost surely, 21396386693072 is an apocalyptic number.

1396386693072 is a gapful number since it is divisible by the number (12) 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 1396386693072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2234971779040).

1396386693072 is an abundant number, since it is smaller than the sum of its proper divisors (3073556865008).

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

1396386693072 is a wasteful number, since it uses less digits than its factorization.

1396386693072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154681 (or 1154672 counting only the distinct ones).

The product of its (nonzero) digits is 52907904, while the sum is 63.

The spelling of 1396386693072 in words is "one trillion, three hundred ninety-six billion, three hundred eighty-six million, six hundred ninety-three thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 1201 2402 3603 4804 7206 8407 9608 10809 14412 16814 19216 21618 25221 28824 33628 43236 50442 57648 67256 75663 86472 100884 134512 151326 172944 201768 302652 403536 605304 1153459 1210608 2306918 3460377 4613836 6920754 8074213 9227672 10381131 13841508 16148426 18455344 20762262 24222639 27683016 32296852 41524524 48445278 55366032 64593704 72667917 83049048 96890556 129187408 145335834 166098096 193781112 290671668 387562224 581343336 1162686672 1385304259 2770608518 4155912777 5541217036 8311825554 9697129813 11082434072 12467738331 16623651108 19394259626 22164868144 24935476662 29091389439 33247302216 38788519252 49870953324 58182778878 66494604432 77577038504 87274168317 99741906648 116365557756 155154077008 174548336634 199483813296 232731115512 349096673268 465462231024 698193346536 1396386693072