Search a number
-
+
385019256720 = 24357459149919
BaseRepresentation
bin1011001101001001110…
…11111001111110010000
31100210210122122202120010
411212210323321332100
522302004412203340
6452513030514520
736550064453430
oct5464473717620
91323718582503
10385019256720
1113931637322a
1262752205a40
132a3cbaa52c7
14148c67522c0
15a036639b80
hex59a4ef9f90

385019256720 has 160 divisors (see below), whose sum is σ = 1364392673280. Its totient is φ = 87983470080.

The previous prime is 385019256719. The next prime is 385019256737. The reversal of 385019256720 is 27652910583.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 385019256720.

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, 7687921 + ... + 7737839.

It is an arithmetic number, because the mean of its divisors is an integer number (8527454208).

Almost surely, 2385019256720 is an apocalyptic number.

385019256720 is a gapful number since it is divisible by the number (30) 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 385019256720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682196336640).

385019256720 is an abundant number, since it is smaller than the sum of its proper divisors (979373416560).

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

385019256720 is a wasteful number, since it uses less digits than its factorization.

385019256720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54533 (or 54527 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 48.

The spelling of 385019256720 in words is "three hundred eighty-five billion, nineteen million, two hundred fifty-six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 4591 9182 13773 18364 22955 27546 32137 36728 45910 49919 55092 64274 68865 73456 91820 96411 99838 110184 128548 137730 149757 160685 183640 192822 199676 220368 249595 257096 275460 299514 321370 349433 367280 385644 399352 482055 499190 514192 550920 599028 642740 698866 748785 771288 798704 964110 998380 1048299 1101840 1198056 1285480 1397732 1497570 1542576 1747165 1928220 1996760 2096598 2396112 2570960 2795464 2995140 3494330 3856440 3993520 4193196 5241495 5590928 5990280 6988660 7712880 8386392 10482990 11980560 13977320 16772784 20965980 27954640 41931960 83863920 229178129 458356258 687534387 916712516 1145890645 1375068774 1604246903 1833425032 2291781290 2750137548 3208493806 3437671935 3666850064 4583562580 4812740709 5500275096 6416987612 6875343870 8021234515 9167125160 9625481418 11000550192 12833975224 13750687740 16042469030 18334250320 19250962836 24063703545 25667950448 27501375480 32084938060 38501925672 48127407090 55002750960 64169876120 77003851344 96254814180 128339752240 192509628360 385019256720