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38074476514448 = 241115724125722247
BaseRepresentation
bin10001010100000111001111…
…01001011100110010010000
311222210212212201210002121102
420222003213221130302100
514442303011441430243
6212551101213243532
711006535010341563
oct1052034751346220
9158725781702542
1038074476514448
111114a327435980
12432b1091935a8
13183253ba2076a
14958b58d964da
1546061034e9b8
hex22a0e7a5cc90

38074476514448 has 160 divisors (see below), whose sum is σ = 81644338499328. Its totient is φ = 17057592115200.

The previous prime is 38074476514447. The next prime is 38074476514457. The reversal of 38074476514448 is 84441567447083.

It is not an unprimeable number, because it can be changed into a prime (38074476514447) 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, 1711432061 + ... + 1711454307.

Almost surely, 238074476514448 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 38074476514448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40822169249664).

38074476514448 is an abundant number, since it is smaller than the sum of its proper divisors (43569861984880).

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

38074476514448 is a wasteful number, since it uses less digits than its factorization.

38074476514448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22921 (or 22915 counting only the distinct ones).

The product of its (nonzero) digits is 289013760, while the sum is 65.

The spelling of 38074476514448 in words is "thirty-eight trillion, seventy-four billion, four hundred seventy-six million, five hundred fourteen thousand, four hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 44 88 157 176 241 257 314 482 514 628 964 1028 1256 1727 1928 2056 2512 2651 2827 3454 3856 4112 5302 5654 6908 10604 11308 13816 21208 22247 22616 27632 37837 40349 42416 44494 45232 61937 75674 80698 88988 123874 151348 161396 177976 244717 247748 302696 322792 355952 416207 443839 489434 495496 605392 645584 681307 832414 887678 978868 990992 1362614 1664828 1775356 1957736 2725228 3329656 3492779 3550712 3915472 5361527 5450456 5717479 6659312 6985558 7101424 9724109 10723054 10900912 11434958 13971116 19448218 21446108 22869916 27942232 38420569 38896436 42892216 45739832 55884464 58976797 62892269 76841138 77792872 85784432 91479664 106965199 117953594 125784538 153682276 155585744 213930398 235907188 251569076 307364552 427860796 471814376 503138152 614729104 841759739 855721592 897644203 943628752 1006276304 1377912439 1683519478 1711443184 1795288406 2755824878 3367038956 3590576812 5511649756 6734077912 7181153624 9259357129 9874086233 11023299512 13468155824 14362307248 15157036829 18518714258 19748172466 22046599024 30314073658 37037428516 39496344932 60628147316 74074857032 78992689864 121256294632 148149714064 157985379728 216332252923 242512589264 432664505846 865329011692 1730658023384 2379654782153 3461316046768 4759309564306 9518619128612 19037238257224 38074476514448