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54524143202120 = 23519701400725541
BaseRepresentation
bin11000110010110111001000…
…01011111110111101001000
321011001110100021202102101122
430121123210023332331020
524121310421124431440
6311544013503134412
714325145045222154
oct1431334413767510
9234043307672348
1054524143202120
111641161743a259
1261471892a4408
1324567b2524497
14d66da8402064
156484710c97b5
hex3196e42fef48

54524143202120 has 128 divisors (see below), whose sum is σ = 129357683769600. Its totient is φ = 20626349184000.

The previous prime is 54524143202059. The next prime is 54524143202149. The reversal of 54524143202120 is 2120234142545.

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, 2134756550 + ... + 2134782090.

It is an arithmetic number, because the mean of its divisors is an integer number (1010606904450).

Almost surely, 254524143202120 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 54524143202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64678841884800).

54524143202120 is an abundant number, since it is smaller than the sum of its proper divisors (74833540567480).

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

54524143202120 is a wasteful number, since it uses less digits than its factorization.

54524143202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30279 (or 30275 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

Adding to 54524143202120 its reverse (2120234142545), we get a palindrome (56644377344665).

The spelling of 54524143202120 in words is "fifty-four trillion, five hundred twenty-four billion, one hundred forty-three million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 701 760 1402 2804 3505 4007 5608 7010 8014 13319 14020 16028 20035 25541 26638 28040 32056 40070 51082 53276 66595 76133 80140 102164 106552 127705 133190 152266 160280 204328 255410 266380 304532 380665 485279 510820 532760 609064 761330 970558 1021640 1522660 1941116 2426395 2808907 3045320 3882232 4852790 5617814 9705580 11235628 14044535 17904241 19411160 22471256 28089070 35808482 53369233 56178140 71616964 89521205 102342787 106738466 112356280 143233928 179042410 204685574 213476932 266846165 340180579 358084820 409371148 426953864 511713935 533692330 680361158 716169640 818742296 1023427870 1067384660 1360722316 1700902895 1944512953 2046855740 2134769320 2721444632 3401805790 3889025906 4093711480 6803611580 7778051812 9722564765 13607223160 15556103624 19445129530 38890259060 71742293687 77780518120 143484587374 286969174748 358711468435 573938349496 717422936870 1363103580053 1434845873740 2726207160106 2869691747480 5452414320212 6815517900265 10904828640424 13631035800530 27262071601060 54524143202120