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53378638000 = 2453194134261
BaseRepresentation
bin110001101101100111…
…010110000010110000
312002210001022202122121
4301231213112002300
51333304412404000
640304413244024
73566525636212
oct615547260260
9162701282577
1053378638000
1120701938866
12a418493614
135058a264cc
14282533a5b2
1515c62ccb1a
hexc6d9d60b0

53378638000 has 160 divisors (see below), whose sum is σ = 139180466880. Its totient is φ = 19733760000.

The previous prime is 53378637971. The next prime is 53378638087. The reversal of 53378638000 is 83687335.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1540870 + ... + 1575130.

It is an arithmetic number, because the mean of its divisors is an integer number (869877918).

Almost surely, 253378638000 is an apocalyptic number.

53378638000 is a gapful number since it is divisible by the number (50) 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 53378638000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69590233440).

53378638000 is an abundant number, since it is smaller than the sum of its proper divisors (85801828880).

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

53378638000 is a wasteful number, since it uses less digits than its factorization.

53378638000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34344 (or 34328 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 43.

The spelling of 53378638000 in words is "fifty-three billion, three hundred seventy-eight million, six hundred thirty-eight thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 41 50 76 80 82 95 100 125 152 164 190 200 205 250 304 328 380 400 410 475 500 656 760 779 820 950 1000 1025 1520 1558 1640 1900 2000 2050 2375 3116 3280 3800 3895 4100 4750 5125 6232 7600 7790 8200 9500 10250 12464 15580 16400 19000 19475 20500 31160 34261 38000 38950 41000 62320 68522 77900 82000 97375 137044 155800 171305 194750 274088 311600 342610 389500 548176 650959 685220 779000 856525 1301918 1370440 1404701 1558000 1713050 2603836 2740880 2809402 3254795 3426100 4282625 5207672 5618804 6509590 6852200 7023505 8565250 10415344 11237608 13019180 13704400 14047010 16273975 17130500 22475216 26038360 26689319 28094020 32547950 34261000 35117525 52076720 53378638 56188040 65095900 68522000 70235050 81369875 106757276 112376080 130191800 133446595 140470100 162739750 175587625 213514552 260383600 266893190 280940200 325479500 351175250 427029104 533786380 561880400 650959000 667232975 702350500 1067572760 1301918000 1334465950 1404701000 2135145520 2668931900 2809402000 3336164875 5337863800 6672329750 10675727600 13344659500 26689319000 53378638000