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2159138604750 = 235347104958391
BaseRepresentation
bin11111011010110110101…
…100001000011011001110
321122102010002012120211020
4133122312230020123032
5240333403440323000
64331521121335010
7311664316216611
oct37326654103316
97572102176736
102159138604750
1176275a4a9a46
122aa557197466
131287b520305a
1476707c16178
153b26e016ba0
hex1f6b6b086ce

2159138604750 has 128 divisors (see below), whose sum is σ = 5509215129600. Its totient is φ = 562973024000.

The previous prime is 2159138604653. The next prime is 2159138604761. The reversal of 2159138604750 is 574068319512.

It is a junction number, because it is equal to n+sod(n) for n = 2159138604693 and 2159138604702.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36948055 + ... + 37006445.

It is an arithmetic number, because the mean of its divisors is an integer number (43040743200).

It is a 1-persistent number, because it is pandigital, but 2⋅2159138604750 = 4318277209500 is not.

Almost surely, 22159138604750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2159138604750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2754607564800).

2159138604750 is an abundant number, since it is smaller than the sum of its proper divisors (3350076524850).

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

2159138604750 is a wasteful number, since it uses less digits than its factorization.

2159138604750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59507 (or 59497 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 51.

The spelling of 2159138604750 in words is "two trillion, one hundred fifty-nine billion, one hundred thirty-eight million, six hundred four thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 47 50 75 94 125 141 150 235 250 282 375 470 705 750 1049 1175 1410 2098 2350 3147 3525 5245 5875 6294 7050 10490 11750 15735 17625 26225 31470 35250 49303 52450 58391 78675 98606 116782 131125 147909 157350 175173 246515 262250 291955 295818 350346 393375 493030 583910 739545 786750 875865 1232575 1459775 1479090 1751730 2465150 2744377 2919550 3697725 4379325 5488754 6162875 7298875 7395450 8233131 8758650 12325750 13721885 14597750 16466262 18488625 21896625 27443770 36977250 41165655 43793250 61252159 68609425 82331310 122504318 137218850 183756477 205828275 306260795 343047125 367512954 411656550 612521590 686094250 918782385 1029141375 1531303975 1837564770 2058282750 2878851473 3062607950 4593911925 5757702946 7656519875 8636554419 9187823850 14394257365 15313039750 17273108838 22969559625 28788514730 43182772095 45939119250 71971286825 86365544190 143942573650 215913860475 359856434125 431827720950 719712868250 1079569302375 2159138604750