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84710253144 = 233111976921961
BaseRepresentation
bin100111011100100011…
…1111110001001011000
322002122121021201121010
41032321013332021120
52341441311100034
6102525414413520
76056125162026
oct1167107761130
9262577251533
1084710253144
1132a1a802a80
12145013612a0
137cacc4575a
144158575716
15230bc8e3e9
hex13b91fe258

84710253144 has 128 divisors (see below), whose sum is σ = 243514656000. Its totient is φ = 24286003200.

The previous prime is 84710253113. The next prime is 84710253167. The reversal of 84710253144 is 44135201748.

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, 3846324 + ... + 3868284.

It is an arithmetic number, because the mean of its divisors is an integer number (1902458250).

Almost surely, 284710253144 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 84710253144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121757328000).

84710253144 is an abundant number, since it is smaller than the sum of its proper divisors (158804402856).

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

84710253144 is a wasteful number, since it uses less digits than its factorization.

84710253144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22769 (or 22765 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The spelling of 84710253144 in words is "eighty-four billion, seven hundred ten million, two hundred fifty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 114 132 152 209 228 264 418 456 627 769 836 1254 1538 1672 2307 2508 3076 4614 5016 6152 8459 9228 14611 16918 18456 21961 25377 29222 33836 43833 43922 50754 58444 65883 67672 87666 87844 101508 116888 131766 160721 175332 175688 203016 241571 263532 321442 350664 417259 482163 483142 527064 642884 724713 834518 964326 966284 1251777 1285768 1449426 1669036 1928652 1932568 2503554 2898852 3338072 3857304 4589849 5007108 5797704 9179698 10014216 13769547 16888009 18359396 27539094 33776018 36718792 50664027 55078188 67552036 101328054 110156376 135104072 185768099 202656108 320872171 371536198 405312216 557304297 641744342 743072396 962616513 1114608594 1283488684 1486144792 1925233026 2229217188 2566977368 3529593881 3850466052 4458434376 7059187762 7700932104 10588781643 14118375524 21177563286 28236751048 42355126572 84710253144