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150172779064 = 237114713737861
BaseRepresentation
bin1000101111011011111…
…1101100001000111000
3112100121210120121012011
42023312333230020320
54430023212412224
6152553255455304
713564264363210
oct2136677541070
9470553517164
10150172779064
1158762689670
1225130687534
13112132c56a9
1473a86c9240
153d8dd5d394
hex22f6fec238

150172779064 has 128 divisors (see below), whose sum is σ = 361148958720. Its totient is φ = 56844518400.

The previous prime is 150172779037. The next prime is 150172779077. The reversal of 150172779064 is 460977271051.

It is a junction number, because it is equal to n+sod(n) for n = 150172778999 and 150172779017.

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, 3947494 + ... + 3985354.

It is an arithmetic number, because the mean of its divisors is an integer number (2821476240).

Almost surely, 2150172779064 is an apocalyptic number.

150172779064 is a gapful number since it is divisible by the number (14) 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 150172779064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180574479360).

150172779064 is an abundant number, since it is smaller than the sum of its proper divisors (210976179656).

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

150172779064 is a wasteful number, since it uses less digits than its factorization.

150172779064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38069 (or 38065 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 49.

The spelling of 150172779064 in words is "one hundred fifty billion, one hundred seventy-two million, seven hundred seventy-nine thousand, sixty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 47 56 77 88 94 137 154 188 274 308 329 376 517 548 616 658 959 1034 1096 1316 1507 1918 2068 2632 3014 3619 3836 4136 6028 6439 7238 7672 10549 12056 12878 14476 21098 25756 28952 37861 42196 45073 51512 70829 75722 84392 90146 141658 151444 180292 265027 283316 302888 360584 416471 495803 530054 566632 832942 991606 1060108 1665884 1779467 1983212 2120216 2915297 3331768 3558934 3966424 5186957 5830594 7117868 10373914 11661188 12456269 14235736 19574137 20747828 23322376 24912538 36308699 39148274 41495656 49825076 57056527 72617398 78296548 99650152 114113054 137018959 145234796 156593096 228226108 243786979 274037918 290469592 399395689 456452216 487573958 548075836 798791378 975147916 1096151672 1597582756 1706508853 1950295832 2681656769 3195165512 3413017706 5363313538 6826035412 10726627076 13652070824 18771597383 21453254152 37543194766 75086389532 150172779064