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380214928520 = 235743169918587
BaseRepresentation
bin1011000100001101001…
…00110110010010001000
31100100101211110121020122
411202012210312102020
522212140010203040
6450400205242412
736320036365610
oct5420644662210
91310354417218
10380214928520
11137280462359
1261831263408
1329b1464695b
141458c667a40
159d549851b5
hex5886936488

380214928520 has 128 divisors (see below), whose sum is σ = 1001075328000. Its totient is φ = 127246000896.

The previous prime is 380214928501. The next prime is 380214928537. The reversal of 380214928520 is 25829412083.

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, 20446667 + ... + 20465253.

It is an arithmetic number, because the mean of its divisors is an integer number (7820901000).

Almost surely, 2380214928520 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 380214928520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500537664000).

380214928520 is an abundant number, since it is smaller than the sum of its proper divisors (620860399480).

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

380214928520 is a wasteful number, since it uses less digits than its factorization.

380214928520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20347 (or 20343 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 44.

The spelling of 380214928520 in words is "three hundred eighty billion, two hundred fourteen million, nine hundred twenty-eight thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 43 56 70 86 140 172 215 280 301 344 430 602 860 1204 1505 1699 1720 2408 3010 3398 6020 6796 8495 11893 12040 13592 16990 18587 23786 33980 37174 47572 59465 67960 73057 74348 92935 95144 118930 130109 146114 148696 185870 237860 260218 292228 365285 371740 475720 511399 520436 584456 650545 730570 743480 799241 1022798 1040872 1301090 1461140 1598482 2045596 2556995 2602180 2922280 3196964 3996205 4091192 5113990 5204360 5594687 6393928 7992410 10227980 11189374 15984820 20455960 22378748 27973435 31579313 31969640 44757496 55946870 63158626 111893740 126317252 157896565 221055191 223787480 252634504 315793130 442110382 631586260 884220764 1105275955 1263172520 1357910459 1768441528 2210551910 2715820918 4421103820 5431641836 6789552295 8842207640 9505373213 10863283672 13579104590 19010746426 27158209180 38021492852 47526866065 54316418360 76042985704 95053732130 190107464260 380214928520