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38748628361454 = 231159197223226511
BaseRepresentation
bin10001100111101110111100…
…01110101010000011101110
312002012022222112102021100120
420303313132032222003232
520034324142330031304
6214224512451105410
711106332063444514
oct1063673616520356
9162168875367316
1038748628361454
111138a223598660
1244198b12a2266
131880c980117cb
1497d62d4124b4
15472e1a04a0d9
hex233dde3aa0ee

38748628361454 has 128 divisors (see below), whose sum is σ = 86799688335360. Its totient is φ = 11432847619200.

The previous prime is 38748628361453. The next prime is 38748628361467. The reversal of 38748628361454 is 45416382684783.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38748628361453) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 170954059 + ... + 171180569.

It is an arithmetic number, because the mean of its divisors is an integer number (678122565120).

Almost surely, 238748628361454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38748628361454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43399844167680).

38748628361454 is an abundant number, since it is smaller than the sum of its proper divisors (48051059973906).

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

38748628361454 is a wasteful number, since it uses less digits than its factorization.

38748628361454 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227006.

The product of its digits is 743178240, while the sum is 69.

The spelling of 38748628361454 in words is "thirty-eight trillion, seven hundred forty-eight billion, six hundred twenty-eight million, three hundred sixty-one thousand, four hundred fifty-four".

Divisors: 1 2 3 6 11 22 33 59 66 118 177 197 223 354 394 446 591 649 669 1182 1298 1338 1947 2167 2453 3894 4334 4906 6501 7359 11623 13002 13157 14718 23246 26314 34869 39471 43931 69738 78942 87862 127853 131793 144727 226511 255706 263586 289454 383559 434181 453022 483241 679533 767118 868362 966482 1359066 1449723 2491621 2591929 2899446 4983242 5183858 7474863 7775787 13364149 14949726 15551574 26728298 28511219 40092447 44622667 50511953 57022438 80184894 85533657 89245334 101023906 133868001 147005639 151535859 171067314 267736002 294011278 303071718 441016917 490849337 555631483 882033834 981698674 1111262966 1472548011 1666894449 2632737353 2945096022 2980205227 3333788898 5265474706 5960410454 7898212059 8940615681 9950854741 15796424118 17881231362 19901709482 28960110883 29852564223 32782257497 57920221766 59705128446 65564514994 86880332649 98346772491 109459402151 173760665298 196693544982 218918804302 328378206453 587100429719 656756412906 1174200859438 1761301289157 3522602578314 6458104726909 12916209453818 19374314180727 38748628361454