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380413628540 = 2251123372031907
BaseRepresentation
bin1011000100100100110…
…10110101000001111100
31100100220200100121102122
411202102122311001330
522213041342103130
6450432024142112
736325001330141
oct5422232650174
91310820317378
10380413628540
11137372637650
1261887907938
1329b4686732a
14145aabcc3c8
159d671342e5
hex58926b507c

380413628540 has 96 divisors (see below), whose sum is σ = 933962448384. Its totient is φ = 128741564160.

The previous prime is 380413628533. The next prime is 380413628561. The reversal of 380413628540 is 45826314083.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 380413628491 and 380413628500.

It is a congruent number.

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, 828734 + ... + 1203173.

It is an arithmetic number, because the mean of its divisors is an integer number (9728775504).

Almost surely, 2380413628540 is an apocalyptic number.

It is an amenable number.

380413628540 is an abundant number, since it is smaller than the sum of its proper divisors (553548819844).

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

380413628540 is a wasteful number, since it uses less digits than its factorization.

380413628540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2031987 (or 2031985 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 44.

The spelling of 380413628540 in words is "three hundred eighty billion, four hundred thirteen million, six hundred twenty-eight thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 23 37 44 46 55 74 92 110 115 148 185 220 230 253 370 407 460 506 740 814 851 1012 1265 1628 1702 2035 2530 3404 4070 4255 5060 8140 8510 9361 17020 18722 37444 46805 93610 187220 2031907 4063814 8127628 10159535 20319070 22350977 40638140 44701954 46733861 75180559 89403908 93467722 111754885 150361118 186935444 223509770 233669305 300722236 375902795 447019540 467338610 514072471 751805590 826986149 934677220 1028144942 1503611180 1653972298 1729152857 2056289884 2570362355 3307944596 3458305714 4134930745 5140724710 6916611428 8269861490 8645764285 10281449420 16539722980 17291528570 19020681427 34583057140 38041362854 76082725708 95103407135 190206814270 380413628540