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126023161620 = 223519891242097
BaseRepresentation
bin111010101011110010…
…0001101011100010100
3110001021202210220221110
41311113210031130110
54031043412132440
6133521053415020
712050654125236
oct1652744153424
9401252726843
10126023161620
114949a875644
1220510a9a470
13bb65002625
146157264256
153428b66080
hex1d5790d714

126023161620 has 96 divisors (see below), whose sum is σ = 375610435200. Its totient is φ = 31479681024.

The previous prime is 126023161613. The next prime is 126023161673. The reversal of 126023161620 is 26161320621.

126023161620 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 519589 + ... + 722508.

It is an arithmetic number, because the mean of its divisors is an integer number (3912608700).

Almost surely, 2126023161620 is an apocalyptic number.

126023161620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126023161620 is an abundant number, since it is smaller than the sum of its proper divisors (249587273580).

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

126023161620 is a wasteful number, since it uses less digits than its factorization.

126023161620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242217 (or 1242215 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 126023161620 in words is "one hundred twenty-six billion, twenty-three million, one hundred sixty-one thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 89 95 114 178 190 228 267 285 356 380 445 534 570 890 1068 1140 1335 1691 1780 2670 3382 5073 5340 6764 8455 10146 16910 20292 25365 33820 50730 101460 1242097 2484194 3726291 4968388 6210485 7452582 12420970 14905164 18631455 23599843 24841940 37262910 47199686 70799529 74525820 94399372 110546633 117999215 141599058 221093266 235998430 283198116 331639899 353997645 442186532 471996860 552733165 663279798 707995290 1105466330 1326559596 1415990580 1658199495 2100386027 2210932660 3316398990 4200772054 6301158081 6632797980 8401544108 10501930135 12602316162 21003860270 25204632324 31505790405 42007720540 63011580810 126023161620