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148697019632 = 24719435330661
BaseRepresentation
bin1000101001111100001…
…0000111010011110000
3112012210221200020211102
42022133002013103300
54414012414112012
6152151021103532
713512564545450
oct2123702072360
9465727606742
10148697019632
1158075655777
122499a3b7ba8
131103963ca65
1472a86d5d60
153d045012c2
hex229f0874f0

148697019632 has 160 divisors (see below), whose sum is σ = 361350443520. Its totient is φ = 57854684160.

The previous prime is 148697019629. The next prime is 148697019637. The reversal of 148697019632 is 236910796841.

It is a super-2 number, since 2×1486970196322 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148697019637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4834382 + ... + 4865042.

It is an arithmetic number, because the mean of its divisors is an integer number (2258440272).

Almost surely, 2148697019632 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 148697019632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180675221760).

148697019632 is an abundant number, since it is smaller than the sum of its proper divisors (212653423888).

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

148697019632 is a wasteful number, since it uses less digits than its factorization.

148697019632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30791 (or 30785 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 56.

The spelling of 148697019632 in words is "one hundred forty-eight billion, six hundred ninety-seven million, nineteen thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 19 28 38 43 53 56 76 86 106 112 133 152 172 212 266 301 304 344 371 424 532 602 688 742 817 848 1007 1064 1204 1484 1634 2014 2128 2279 2408 2968 3268 4028 4558 4816 5719 5936 6536 7049 8056 9116 11438 13072 14098 15953 16112 18232 22876 28196 30661 31906 36464 43301 45752 56392 61322 63812 86602 91504 112784 122644 127624 173204 214627 245288 255248 303107 346408 429254 490576 582559 606214 692816 858508 1165118 1212428 1318423 1625033 1717016 2330236 2424856 2636846 3250066 3434032 4077913 4660472 4849712 5273692 6500132 8155826 9228961 9320944 10547384 11375231 13000264 16311652 18457922 21094768 22750462 25050037 26000528 30875627 32623304 36915844 45500924 50100074 61751254 65246608 69876419 73831688 91001848 100200148 123502508 139752838 147663376 175350259 182003696 200400296 216129389 247005016 279505676 350700518 400800592 432258778 489134933 494010032 559011352 701401036 864517556 978269866 1118022704 1327651961 1402802072 1729035112 1956539732 2655303922 2805604144 3458070224 3913079464 5310607844 7826158928 9293563727 10621215688 18587127454 21242431376 37174254908 74348509816 148697019632