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38678632740356 = 22722913160785577
BaseRepresentation
bin10001100101101100100100…
…01010100011011000000100
312001221122022102022022012112
420302312102022203120010
520032202314440142411
6214132415114040152
711101303401463400
oct1062662212433004
9161848272268175
1038678632740356
1111362574917514
124408217a19058
1318774c176b32b
1497a0ad21a100
154711c0001b8b
hex232d922a3604

38678632740356 has 144 divisors (see below), whose sum is σ = 82211731176960. Its totient is φ = 15856424962560.

The previous prime is 38678632740329. The next prime is 38678632740367. The reversal of 38678632740356 is 65304723687683.

It is a super-3 number, since 3×386786327403563 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 451931840 + ... + 452017416.

It is an arithmetic number, because the mean of its divisors is an integer number (570914799840).

Almost surely, 238678632740356 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 38678632740356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41105865588480).

38678632740356 is an abundant number, since it is smaller than the sum of its proper divisors (43533098436604).

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

38678632740356 is a wasteful number, since it uses less digits than its factorization.

38678632740356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86362 (or 86353 counting only the distinct ones).

The product of its (nonzero) digits is 731566080, while the sum is 68.

The spelling of 38678632740356 in words is "thirty-eight trillion, six hundred seventy-eight billion, six hundred thirty-two million, seven hundred forty thousand, three hundred fifty-six".

Divisors: 1 2 4 7 14 28 29 49 58 98 116 131 196 203 262 406 524 607 812 917 1214 1421 1834 2428 2842 3668 3799 4249 5684 6419 7598 8498 12838 15196 16996 17603 25676 26593 29743 35206 53186 59486 70412 79517 85577 106372 118972 123221 159034 171154 186151 246442 318068 342308 372302 492884 556619 599039 744604 862547 1113238 1198078 1725094 2226476 2305993 2396156 2481733 3450188 3896333 4193273 4611986 4963466 7792666 8386546 9223972 9926932 11210587 15585332 16141951 16773092 17372131 22421174 32283902 34744262 44842348 51945239 64567804 69488524 78474109 103890478 112993657 121604917 156948218 207780956 225987314 243209834 313896436 325107023 363616673 451974628 486419668 549318763 650214046 727233346 1098637526 1300428092 1454466692 1506411931 2197275052 2275749161 2545316711 3012823862 4551498322 5090633422 6025647724 6804826309 9102996644 10181266844 10544883517 13609652618 15930244127 21089767034 27219305236 31860488254 42179534068 47633784163 63720976508 73814184619 95267568326 147628369238 190535136652 197339962961 295256738476 333436489141 394679925922 666872978282 789359851844 1333745956564 1381379740727 2762759481454 5525518962908 9669658185089 19339316370178 38678632740356