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148441959376 = 24193779891877
BaseRepresentation
bin1000101000111111010…
…1001000101111010000
3112012011011201211221021
42022033311020233100
54413002120200001
6152105430205224
713503346556524
oct2121765105720
9465134654837
10148441959376
1157a54686177
1224928ab3814
1310cc8848029
14728289dd84
153cdbe1cba1
hex228fd48bd0

148441959376 has 160 divisors (see below), whose sum is σ = 318568896000. Its totient is φ = 66753662976.

The previous prime is 148441959361. The next prime is 148441959397. The reversal of 148441959376 is 673959144841.

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, 79083750 + ... + 79085626.

It is an arithmetic number, because the mean of its divisors is an integer number (1991055600).

Almost surely, 2148441959376 is an apocalyptic number.

148441959376 is a gapful number since it is divisible by the number (16) 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 148441959376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159284448000).

148441959376 is an abundant number, since it is smaller than the sum of its proper divisors (170126936624).

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

148441959376 is a wasteful number, since it uses less digits than its factorization.

148441959376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2109 (or 2103 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 61.

The spelling of 148441959376 in words is "one hundred forty-eight billion, four hundred forty-one million, nine hundred fifty-nine thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 19 37 38 74 76 79 89 148 152 158 178 296 304 316 356 592 632 703 712 1264 1406 1424 1501 1691 1877 2812 2923 3002 3293 3382 3754 5624 5846 6004 6586 6764 7031 7508 11248 11692 12008 13172 13528 14062 15016 23384 24016 26344 27056 28124 30032 35663 46768 52688 55537 56248 62567 69449 71326 111074 112496 125134 133589 138898 142652 148283 167053 222148 250268 260147 267178 277796 285304 296566 334106 444296 500536 520294 534356 555592 570608 593132 668212 888592 1001072 1040588 1068712 1111184 1186264 1319531 1336424 2081176 2137424 2372528 2639062 2672848 2817377 3174007 4162352 4942793 5278124 5486471 5634754 6180961 6348014 9885586 10556248 10972942 11269508 12361922 12696028 13197187 19771172 21112496 21945884 22539016 24723844 25392056 26394374 39542344 43891768 45078032 49447688 50784112 52788748 79084688 87783536 98895376 104242949 105577496 117438259 208485898 211154992 234876518 250746553 416971796 469753036 488295919 501493106 833943592 939506072 976591838 1002986212 1667887184 1879012144 1953183676 2005972424 3906367352 4011944848 7812734704 9277622461 18555244922 37110489844 74220979688 148441959376