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135589049472 = 27323131117191
BaseRepresentation
bin111111001000110111…
…1001011010010000000
3110221222102201101011010
41332101233023102000
54210141244040342
6142142211520520
712540010622142
oct1762157132200
9427872641133
10135589049472
1152559535788
12223405b9140
13ca2aa968b6
1467c38a2c92
1537d887329c
hex1f91bcb480

135589049472 has 128 divisors (see below), whose sum is σ = 378689541120. Its totient is φ = 42900915200.

The previous prime is 135589049443. The next prime is 135589049501. The reversal of 135589049472 is 274940985531.

It is an interprime number because it is at equal distance from previous prime (135589049443) and next prime (135589049501).

It is a tau number, because it is divible by the number of its divisors (128).

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, 1098397 + ... + 1215587.

It is an arithmetic number, because the mean of its divisors is an integer number (2958512040).

Almost surely, 2135589049472 is an apocalyptic number.

135589049472 is a gapful number since it is divisible by the number (12) 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 135589049472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189344770560).

135589049472 is an abundant number, since it is smaller than the sum of its proper divisors (243100491648).

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

135589049472 is a wasteful number, since it uses less digits than its factorization.

135589049472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117362 (or 117350 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 57.

The spelling of 135589049472 in words is "one hundred thirty-five billion, five hundred eighty-nine million, forty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 131 138 184 192 262 276 368 384 393 524 552 736 786 1048 1104 1472 1572 2096 2208 2944 3013 3144 4192 4416 6026 6288 8384 8832 9039 12052 12576 16768 18078 24104 25152 36156 48208 50304 72312 96416 117191 144624 192832 234382 289248 351573 385664 468764 578496 703146 937528 1156992 1406292 1875056 2695393 2812584 3750112 5390786 5625168 7500224 8086179 10781572 11250336 15000448 15352021 16172358 21563144 22500672 30704042 32344716 43126288 45001344 46056063 61408084 64689432 86252576 92112126 122816168 129378864 172505152 184224252 245632336 258757728 345010304 353096483 368448504 491264672 517515456 706192966 736897008 982529344 1035030912 1059289449 1412385932 1473794016 1965058688 2118578898 2824771864 2947588032 4237157796 5649543728 5895176064 8474315592 11299087456 16948631184 22598174912 33897262368 45196349824 67794524736 135589049472