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149164996928 = 26171928125679
BaseRepresentation
bin1000101011101011101…
…1010011100101000000
3112021000120020221222212
42022322323103211000
54420442214400203
6152305255321252
713530306360653
oct2127273234500
9467016227885
10149164996928
115829582aa72
1224aab080228
13110b25922bc
14731091389a
153d306411d8
hex22baed3940

149164996928 has 112 divisors (see below), whose sum is σ = 331093267200. Its totient is φ = 66261565440.

The previous prime is 149164996921. The next prime is 149164996949. The reversal of 149164996928 is 829699461941.

It is a Harshad number since it is a multiple of its sum of digits (68).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149164996921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5795993 + ... + 5821671.

Almost surely, 2149164996928 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 149164996928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165546633600).

149164996928 is an abundant number, since it is smaller than the sum of its proper divisors (181928270272).

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

149164996928 is a wasteful number, since it uses less digits than its factorization.

149164996928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26008 (or 25998 counting only the distinct ones).

The product of its digits is 60466176, while the sum is 68.

The spelling of 149164996928 in words is "one hundred forty-nine billion, one hundred sixty-four million, nine hundred ninety-six thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 17 19 32 34 38 64 68 76 136 152 272 281 304 323 544 562 608 646 1088 1124 1216 1292 2248 2584 4496 4777 5168 5339 8992 9554 10336 10678 17984 19108 20672 21356 25679 38216 42712 51358 76432 85424 90763 102716 152864 170848 181526 205432 305728 341696 363052 410864 436543 487901 726104 821728 873086 975802 1452208 1643456 1746172 1951604 2904416 3492344 3903208 5808832 6984688 7215799 7806416 8294317 13969376 14431598 15612832 16588634 27938752 28863196 31225664 33177268 57726392 66354536 115452784 122668583 132709072 137100181 230905568 245337166 265418144 274200362 461811136 490674332 530836288 548400724 981348664 1096801448 1962697328 2193602896 2330703077 3925394656 4387205792 4661406154 7850789312 8774411584 9322812308 18645624616 37291249232 74582498464 149164996928