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152860384768 = 2971315720897
BaseRepresentation
bin1000111001011100110…
…0000101111000000000
3112121120002210010010011
42032113030011320000
510001024224303033
6154120104314304
714021010555310
oct2162714057000
9477502703104
10152860384768
115991177a603
1225760772994
131155105c820
147581613440
153e99c95ccd
hex2397305e00

152860384768 has 160 divisors (see below), whose sum is σ = 378316661184. Its totient is φ = 60084191232.

The previous prime is 152860384753. The next prime is 152860384777. The reversal of 152860384768 is 867483068251.

It is a happy number.

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, 7304496 + ... + 7325392.

Almost surely, 2152860384768 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 152860384768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189158330592).

152860384768 is an abundant number, since it is smaller than the sum of its proper divisors (225456276416).

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

152860384768 is a wasteful number, since it uses less digits than its factorization.

152860384768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21092 (or 21076 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 58.

The spelling of 152860384768 in words is "one hundred fifty-two billion, eight hundred sixty million, three hundred eighty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 157 182 208 224 256 314 364 416 448 512 628 728 832 896 1099 1256 1456 1664 1792 2041 2198 2512 2912 3328 3584 4082 4396 5024 5824 6656 8164 8792 10048 11648 14287 16328 17584 20096 20897 23296 28574 32656 35168 40192 41794 46592 57148 65312 70336 80384 83588 114296 130624 140672 146279 167176 228592 261248 271661 281344 292558 334352 457184 522496 543322 562688 585116 668704 914368 1044992 1086644 1170232 1337408 1828736 1901627 2173288 2340464 2674816 3280829 3657472 3803254 4346576 4680928 5349632 6561658 7314944 7606508 8693152 9361856 10699264 13123316 15213016 17386304 18723712 22965803 26246632 30426032 34772608 37447424 42650777 45931606 52493264 60852064 69545216 74894848 85301554 91863212 104986528 121704128 139090432 170603108 183726424 209973056 243408256 298555439 341206216 367452848 419946112 486816512 597110878 682412432 734905696 839892224 973633024 1194221756 1364824864 1469811392 1679784448 2388443512 2729649728 2939622784 4776887024 5459299456 5879245568 9553774048 10918598912 11758491136 19107548096 21837197824 38215096192 76430192384 152860384768