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148189769568 = 2534281203459
BaseRepresentation
bin1000101000000011001…
…1000110111101100000
3112011111121012021120000
42022000303012331200
54411443040111233
6152024421020000
713464165154341
oct2120063067540
9464447167500
10148189769568
1157935297245
1224878554600
1310c885199a9
14725b1b40c8
153cc4c04d13
hex2280cc6f60

148189769568 has 120 divisors (see below), whose sum is σ = 437375113560. Its totient is φ = 49220559360.

The previous prime is 148189769527. The next prime is 148189769569. The reversal of 148189769568 is 865967981841.

148189769568 is a `hidden beast` number, since 1 + 48 + 18 + 9 + 7 + 6 + 9 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 148189769496 and 148189769505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148189769569) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 626623 + ... + 830081.

It is an arithmetic number, because the mean of its divisors is an integer number (3644792613).

Almost surely, 2148189769568 is an apocalyptic number.

148189769568 is a gapful number since it is divisible by the number (18) 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 148189769568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218687556780).

148189769568 is an abundant number, since it is smaller than the sum of its proper divisors (289185343992).

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

148189769568 is a wasteful number, since it uses less digits than its factorization.

148189769568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203762 (or 203745 counting only the distinct ones).

The product of its digits is 209018880, while the sum is 72.

The spelling of 148189769568 in words is "one hundred forty-eight billion, one hundred eighty-nine million, seven hundred sixty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 281 288 324 432 562 648 843 864 1124 1296 1686 2248 2529 2592 3372 4496 5058 6744 7587 8992 10116 13488 15174 20232 22761 26976 30348 40464 45522 60696 80928 91044 121392 182088 203459 242784 364176 406918 610377 728352 813836 1220754 1627672 1831131 2441508 3255344 3662262 4883016 5493393 6510688 7324524 9766032 10986786 14649048 16480179 19532064 21973572 29298096 32960358 43947144 57171979 58596192 65920716 87894288 114343958 131841432 171515937 175788576 228687916 263682864 343031874 457375832 514547811 527365728 686063748 914751664 1029095622 1372127496 1543643433 1829503328 2058191244 2744254992 3087286866 4116382488 4630930299 5488509984 6174573732 8232764976 9261860598 12349147464 16465529952 18523721196 24698294928 37047442392 49396589856 74094884784 148189769568