Search a number
-
+
150979108224 = 273759951997
BaseRepresentation
bin1000110010011100001…
…1100101110110000000
3112102200222211100212010
42030213003211312000
54433201122430344
6153205302132520
713623255150120
oct2144703456600
9472628740763
10150979108224
11590368526aa
1225316721140
1311311383339
147443820c80
153dd9a358b9
hex23270e5d80

150979108224 has 128 divisors (see below), whose sum is σ = 466098220800. Its totient is φ = 42405709824.

The previous prime is 150979108211. The next prime is 150979108237. The reversal of 150979108224 is 422801979051.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (150979108211) and next prime (150979108237).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1509791082242 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 317407 + ... + 634590.

It is an arithmetic number, because the mean of its divisors is an integer number (3641392350).

Almost surely, 2150979108224 is an apocalyptic number.

150979108224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

150979108224 is an abundant number, since it is smaller than the sum of its proper divisors (315119112576).

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

150979108224 is an equidigital number, since it uses as much as digits as its factorization.

150979108224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952080 (or 952068 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 48.

The spelling of 150979108224 in words is "one hundred fifty billion, nine hundred seventy-nine million, one hundred eight thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 59 64 84 96 112 118 128 168 177 192 224 236 336 354 384 413 448 472 672 708 826 896 944 1239 1344 1416 1652 1888 2478 2688 2832 3304 3776 4956 5664 6608 7552 9912 11328 13216 19824 22656 26432 39648 52864 79296 158592 951997 1903994 2855991 3807988 5711982 6663979 7615976 11423964 13327958 15231952 19991937 22847928 26655916 30463904 39983874 45695856 53311832 56167823 60927808 79967748 91391712 106623664 112335646 121855616 159935496 168503469 182783424 213247328 224671292 319870992 337006938 365566848 393174761 426494656 449342584 639741984 674013876 786349522 852989312 898685168 1179524283 1279483968 1348027752 1572699044 1797370336 2359048566 2558967936 2696055504 3145398088 3594740672 4718097132 5392111008 6290796176 7189481344 9436194264 10784222016 12581592352 18872388528 21568444032 25163184704 37744777056 50326369408 75489554112 150979108224