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385532370480 = 243531132139227
BaseRepresentation
bin1011001110000111000…
…01010001111000110000
31100212010102011122022110
411213003201101320300
522304032241323410
6453040000405320
736565565036055
oct5470341217060
91325112148273
10385532370480
11139559a77194
1262876016840
132a48119c30a
141493495d02c
15a0666e3720
hex59c3851e30

385532370480 has 160 divisors (see below), whose sum is σ = 1234668976128. Its totient is φ = 99414374400.

The previous prime is 385532370451. The next prime is 385532370491. The reversal of 385532370480 is 84073235583.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 9808627 + ... + 9847853.

Almost surely, 2385532370480 is an apocalyptic number.

385532370480 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 385532370480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617334488064).

385532370480 is an abundant number, since it is smaller than the sum of its proper divisors (849136605648).

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

385532370480 is a wasteful number, since it uses less digits than its factorization.

385532370480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40595 (or 40589 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 48.

The spelling of 385532370480 in words is "three hundred eighty-five billion, five hundred thirty-two million, three hundred seventy thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 1240 1321 1488 1860 2480 2642 3720 3963 5284 6605 7440 7926 10568 13210 15852 19815 21136 26420 31704 39227 39630 40951 52840 63408 78454 79260 81902 105680 117681 122853 156908 158520 163804 196135 204755 235362 245706 313816 317040 327608 392270 409510 470724 491412 588405 614265 627632 655216 784540 819020 941448 982824 1176810 1216037 1228530 1569080 1638040 1882896 1965648 2353620 2432074 2457060 3138160 3276080 3648111 4707240 4864148 4914120 6080185 7296222 9414480 9728296 9828240 12160370 14592444 18240555 19456592 24320740 29184888 36481110 48641480 51818867 58369776 72962220 97282960 103637734 145924440 155456601 207275468 259094335 291848880 310913202 414550936 518188670 621826404 777283005 829101872 1036377340 1243652808 1554566010 1606384877 2072754680 2487305616 3109132020 3212769754 4145509360 4819154631 6218264040 6425539508 8031924385 9638309262 12436528080 12851079016 16063848770 19276618524 24095773155 25702158032 32127697540 38553237048 48191546310 64255395080 77106474096 96383092620 128510790160 192766185240 385532370480