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1837140138438 = 23113743145312041
BaseRepresentation
bin11010101110111110000…
…101011101100111000110
320111121222110021200102120
4122232332011131213012
5220044430333412223
63523545344550410
7246505021344033
oct32567605354706
96447873250376
101837140138438
11649143794380
12258072622406
1310431a96b597
1464cbd21238a
1532bc542dbe3
hex1abbe15d9c6

1837140138438 has 128 divisors (see below), whose sum is σ = 4215623284224. Its totient is φ = 528658099200.

The previous prime is 1837140138437. The next prime is 1837140138443. The reversal of 1837140138438 is 8348310417381.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1837140138437) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 152567698 + ... + 152579738.

It is an arithmetic number, because the mean of its divisors is an integer number (32934556908).

Almost surely, 21837140138438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1837140138438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2107811642112).

1837140138438 is an abundant number, since it is smaller than the sum of its proper divisors (2378483145786).

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

1837140138438 is a wasteful number, since it uses less digits than its factorization.

1837140138438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13590.

The product of its (nonzero) digits is 1548288, while the sum is 51.

The spelling of 1837140138438 in words is "one trillion, eight hundred thirty-seven billion, one hundred forty million, one hundred thirty-eight thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 11 22 33 37 43 66 74 86 111 129 222 258 407 473 814 946 1221 1419 1453 1591 2442 2838 2906 3182 4359 4773 8718 9546 12041 15983 17501 24082 31966 35002 36123 47949 52503 53761 62479 72246 95898 105006 107522 124958 132451 161283 187437 264902 322566 374874 397353 445517 517763 591371 687269 794706 891034 1035526 1182742 1336551 1374538 1553289 1774113 2061807 2311723 2673102 3106578 3548226 4123614 4623446 4900687 5695393 6935169 9801374 11390786 13870338 14702061 17086179 17495573 19157231 25428953 29404122 34172358 34991146 38314462 50857906 52486719 57471693 76286859 104973438 114943386 152573718 192451303 210729541 384902606 421459082 577353909 632188623 647336201 752309639 1154707818 1264377246 1294672402 1504619278 1942008603 2256928917 3884017206 4513857834 7120698211 8275406029 14241396422 16550812058 21362094633 24826218087 27835456643 42724189266 49652436174 55670913286 83506369929 167012739858 306190023073 612380046146 918570069219 1837140138438