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127037673972 = 223311222942451
BaseRepresentation
bin111011001010000001…
…0010001000111110100
3110010220110210111021000
41312110002101013310
54040133121031342
6134205454123300
712115053261216
oct1662402210764
9403813714230
10127037673972
1149970500800
12207547b0530
13bc972511b1
146211cac5b6
153487c6244c
hex1d940911f4

127037673972 has 144 divisors (see below), whose sum is σ = 363609870400. Its totient is φ = 38327256000.

The previous prime is 127037673953. The next prime is 127037674007. The reversal of 127037673972 is 279376730721.

It is a super-2 number, since 2×1270376739722 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 2971347 + ... + 3013797.

Almost surely, 2127037673972 is an apocalyptic number.

127037673972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127037673972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181804935200).

127037673972 is an abundant number, since it is smaller than the sum of its proper divisors (236572196428).

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

127037673972 is a wasteful number, since it uses less digits than its factorization.

127037673972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42715 (or 42696 counting only the distinct ones).

The product of its (nonzero) digits is 4667544, while the sum is 54.

The spelling of 127037673972 in words is "one hundred twenty-seven billion, thirty-seven million, six hundred seventy-three thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 121 132 198 229 242 297 363 396 458 484 594 687 726 916 1089 1188 1374 1452 2061 2178 2519 2748 3267 4122 4356 5038 6183 6534 7557 8244 10076 12366 13068 15114 22671 24732 27709 30228 42451 45342 55418 68013 83127 84902 90684 110836 127353 136026 166254 169804 249381 254706 272052 332508 382059 466961 498762 509412 748143 764118 933922 997524 1146177 1400883 1496286 1528236 1867844 2292354 2801766 2992572 4202649 4584708 5136571 5603532 8405298 9721279 10273142 12607947 15409713 16810596 19442558 20546284 25215894 29163837 30819426 38885116 46229139 50431788 58327674 61638852 87491511 92458278 106934069 116655348 138687417 174983022 184916556 213868138 262474533 277374834 320802207 349966044 427736276 524949066 554749668 641604414 962406621 1049898132 1176274759 1283208828 1924813242 2352549518 2887219863 3528824277 3849626484 4705099036 5774439726 7057648554 10586472831 11548879452 14115297108 21172945662 31759418493 42345891324 63518836986 127037673972