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40728537793776 = 24371919333055873
BaseRepresentation
bin10010100001010110110100…
…00001110000010011110000
312100012121110211022112120110
421100223122001300103300
520314244021133400101
6222342233145341320
711402353064110140
oct1120533201602360
9170177424275513
1040728537793776
1111a8296a8805a8
124699568a97840
1319958b91aaac1
14a0b3b3962920
154a969936bcd6
hex250ada0704f0

40728537793776 has 160 divisors (see below), whose sum is σ = 127230736791040. Its totient is φ = 10967144988672.

The previous prime is 40728537793711. The next prime is 40728537793859. The reversal of 40728537793776 is 67739773582704.

It is a Smith number, since the sum of its digits (75) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 40728537793698 and 40728537793707.

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, 15295825 + ... + 17760048.

It is an arithmetic number, because the mean of its divisors is an integer number (795192104944).

Almost surely, 240728537793776 is an apocalyptic number.

It is an amenable number.

40728537793776 is an abundant number, since it is smaller than the sum of its proper divisors (86502198997264).

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

40728537793776 is a wasteful number, since it uses less digits than its factorization.

40728537793776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33056103 (or 33056097 counting only the distinct ones).

The product of its (nonzero) digits is 2613824640, while the sum is 75.

The spelling of 40728537793776 in words is "forty trillion, seven hundred twenty-eight billion, five hundred thirty-seven million, seven hundred ninety-three thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 193 228 266 304 336 386 399 456 532 579 772 798 912 1064 1158 1351 1544 1596 2128 2316 2702 3088 3192 3667 4053 4632 5404 6384 7334 8106 9264 10808 11001 14668 16212 21616 22002 25669 29336 32424 44004 51338 58672 64848 77007 88008 102676 154014 176016 205352 308028 410704 616056 1232112 33055873 66111746 99167619 132223492 198335238 231391111 264446984 396670476 462782222 528893968 628061587 694173333 793340952 925564444 1256123174 1388346666 1586681904 1851128888 1884184761 2512246348 2776693332 3702257776 3768369522 4396431109 5024492696 5553386664 6379783489 7536739044 8792862218 10048985392 11106773328 12759566978 13189293327 15073478088 17585724436 19139350467 25519133956 26378586654 30146956176 35171448872 38278700934 44658484423 51038267912 52757173308 70342897744 76557401868 89316968846 102076535824 105514346616 121215886291 133975453269 153114803736 178633937692 211028693232 242431772582 267950906538 306229607472 357267875384 363647658873 484863545164 535901813076 714535750768 727295317746 848511204037 969727090328 1071803626152 1454590635492 1697022408074 1939454180656 2143607252304 2545533612111 2909181270984 3394044816148 5091067224222 5818362541968 6788089632296 10182134448444 13576179264592 20364268896888 40728537793776