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31838454228 = 22372292118849
BaseRepresentation
bin11101101001101110…
…000100000111010100
310001011212200001110110
4131221232010013110
51010201121013403
622343144323020
72204662252500
oct355156040724
9101155601413
1031838454228
1112558a82999
126206773470
13300522a239
141780691300
15c6522b103
hex769b841d4

31838454228 has 144 divisors (see below), whose sum is σ = 89832456000. Its totient is φ = 8740408320.

The previous prime is 31838454209. The next prime is 31838454289. The reversal of 31838454228 is 82245483813.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3593548 + ... + 3602396.

It is an arithmetic number, because the mean of its divisors is an integer number (623836500).

Almost surely, 231838454228 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 31838454228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44916228000).

31838454228 is an abundant number, since it is smaller than the sum of its proper divisors (57994001772).

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

31838454228 is a wasteful number, since it uses less digits than its factorization.

31838454228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9110 (or 9101 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 48.

The spelling of 31838454228 in words is "thirty-one billion, eight hundred thirty-eight million, four hundred fifty-four thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 49 58 84 87 98 116 147 174 196 203 211 294 348 406 422 588 609 633 812 844 1218 1266 1421 1477 2436 2532 2842 2954 4263 4431 5684 5908 6119 8526 8849 8862 10339 12238 17052 17698 17724 18357 20678 24476 26547 31017 35396 36714 41356 42833 53094 61943 62034 73428 85666 106188 123886 124068 128499 171332 185829 247772 256621 256998 299831 371658 433601 513242 513996 599662 743316 769863 867202 899493 1026484 1199324 1300803 1539726 1734404 1796347 1798986 1867139 2601606 3079452 3592694 3597972 3734278 5203212 5389041 5601417 7185388 7468556 10778082 11202834 12574429 13069973 21556164 22405668 25148858 26139946 37723287 39209919 50297716 52279892 54147031 75446574 78419838 91489811 108294062 150893148 156839676 162441093 182979622 216588124 274469433 324882186 365959244 379029217 548938866 649764372 758058434 1097877732 1137087651 1516116868 2274175302 2653204519 4548350604 5306409038 7959613557 10612818076 15919227114 31838454228