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1540355026236 = 2231383337353011
BaseRepresentation
bin10110011010100100010…
…100000110110100111100
312110020220222201212122220
4112122210110012310330
5200214121341314421
63135343534005340
7216200301456165
oct26324424066474
95406828655586
101540355026236
11544296289944
1220a645946850
13b2340bc1a60
14547a705276c
152a10510e3c6
hex166a4506d3c

1540355026236 has 96 divisors (see below), whose sum is σ = 3928904947968. Its totient is φ = 466854312960.

The previous prime is 1540355026229. The next prime is 1540355026241. The reversal of 1540355026236 is 6326205530451.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4186971 + ... + 4539981.

It is an arithmetic number, because the mean of its divisors is an integer number (40926093208).

Almost surely, 21540355026236 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 1540355026236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1964452473984).

1540355026236 is an abundant number, since it is smaller than the sum of its proper divisors (2388549921732).

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

1540355026236 is a wasteful number, since it uses less digits than its factorization.

1540355026236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353451 (or 353449 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 42.

The spelling of 1540355026236 in words is "one trillion, five hundred forty billion, three hundred fifty-five million, twenty-six thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 83 156 166 249 332 337 498 674 996 1011 1079 1348 2022 2158 3237 4044 4316 4381 6474 8762 12948 13143 17524 26286 27971 52572 55942 83913 111884 167826 335652 353011 363623 706022 727246 1059033 1090869 1412044 1454492 2118066 2181738 4236132 4363476 4589143 9178286 13767429 18356572 27534858 29299913 55069716 58599826 87899739 117199652 118964707 175799478 237929414 351598956 356894121 380898869 475858828 713788242 761797738 1142696607 1427576484 1523595476 1546541191 2285393214 3093082382 4570786428 4639623573 6186164764 9279247146 9874070681 18558494292 19748141362 29622212043 39496282724 59244424086 118488848172 128362918853 256725837706 385088756559 513451675412 770177513118 1540355026236