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10149406535544 = 23331331273115091
BaseRepresentation
bin1001001110110001011111…
…0001010110111101111000
31022221021101120222122111220
42103230113301112331320
52312241441033114134
633330323433352040
72065161520056423
oct223542761267570
938837346878456
1010149406535544
113263380438581
12117b033868620
13588114789a83
1427133bb589ba
15129021896149
hex93b17c56f78

10149406535544 has 128 divisors (see below), whose sum is σ = 26282507919360. Its totient is φ = 3262699440000.

The previous prime is 10149406535423. The next prime is 10149406535551. The reversal of 10149406535544 is 44553560494101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 672539439 + ... + 672554529.

It is an arithmetic number, because the mean of its divisors is an integer number (205332093120).

Almost surely, 210149406535544 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 10149406535544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13141253959680).

10149406535544 is an abundant number, since it is smaller than the sum of its proper divisors (16133101383816).

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

10149406535544 is a wasteful number, since it uses less digits than its factorization.

10149406535544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18193 (or 18189 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 51.

The spelling of 10149406535544 in words is "ten trillion, one hundred forty-nine billion, four hundred six million, five hundred thirty-five thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 331 372 662 744 993 1324 1986 2648 2731 3972 5462 7944 8193 10261 10924 15091 16386 20522 21848 30182 30783 32772 41044 45273 60364 61566 65544 82088 84661 90546 120728 123132 169322 181092 246264 253983 338644 362184 467821 507966 677288 903961 935642 1015932 1403463 1807922 1871284 2031864 2711883 2806926 3615844 3742568 4995121 5423766 5613852 7231688 9990242 10847532 11227704 14985363 19980484 21695064 28022791 29970726 39960968 41213521 56045582 59941452 82427042 84068373 112091164 119882904 123640563 154848751 164854084 168136746 224182328 247281126 309697502 329708168 336273492 464546253 494562252 619395004 672546984 929092506 989124504 1238790008 1277619151 1858185012 2555238302 3716370024 3832857453 5110476604 7665714906 10220953208 13641675451 15331429812 27283350902 30662859624 40925026353 54566701804 81850052706 109133403608 163700105412 327400210824 422891938981 845783877962 1268675816943 1691567755924 2537351633886 3383135511848 5074703267772 10149406535544