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38401375502616 = 23376713724902453
BaseRepresentation
bin10001011101101000001000…
…10110001000000100011000
312000222010122212220022012120
420232310010112020010120
520013132004112040431
6213401203125141240
711042256612032250
oct1056640426100430
9160863585808176
1038401375502616
1111265a28393105
12438253ab5a820
1318573076239c9
1496a8ca764960
15468d9428e196
hex22ed04588118

38401375502616 has 128 divisors (see below), whose sum is σ = 112168621601280. Its totient is φ = 10729171639296.

The previous prime is 38401375502587. The next prime is 38401375502617. The reversal of 38401375502616 is 61620557310483.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38401375502617) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10909155 + ... + 13993298.

It is an arithmetic number, because the mean of its divisors is an integer number (876317356260).

Almost surely, 238401375502616 is an apocalyptic number.

It is an amenable number.

38401375502616 is an abundant number, since it is smaller than the sum of its proper divisors (73767246098664).

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

38401375502616 is a wasteful number, since it uses less digits than its factorization.

38401375502616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24902673 (or 24902669 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 51.

The spelling of 38401375502616 in words is "thirty-eight trillion, four hundred one billion, three hundred seventy-five million, five hundred two thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 67 84 134 137 168 201 268 274 402 411 469 536 548 804 822 938 959 1096 1407 1608 1644 1876 1918 2814 2877 3288 3752 3836 5628 5754 7672 9179 11256 11508 18358 23016 27537 36716 55074 64253 73432 110148 128506 192759 220296 257012 385518 514024 771036 1542072 24902453 49804906 74707359 99609812 149414718 174317171 199219624 298829436 348634342 522951513 597658872 697268684 1045903026 1394537368 1668464351 2091806052 3336928702 3411636061 4183612104 5005393053 6673857404 6823272122 10010786106 10234908183 11679250457 13347714808 13646544244 20021572212 20469816366 23358500914 23881452427 27293088488 35037751371 40043144424 40939632732 46717001828 47762904854 70075502742 71644357281 81879265464 93434003656 95525809708 140151005484 143288714562 191051619416 228579616087 280302010968 286577429124 457159232174 573154858248 685738848261 914318464348 1371477696522 1600057312609 1828636928696 2742955393044 3200114625218 4800171937827 5485910786088 6400229250436 9600343875654 12800458500872 19200687751308 38401375502616