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135542105433 = 3372679911543
BaseRepresentation
bin111111000111011110…
…0000110010101011001
3110221212011101101001000
41332032330012111121
54210042234333213
6142133413415213
712535600613100
oct1761674062531
9427764341030
10135542105433
1152534a91a59
122232893a509
13ca2113b467
1467bb563037
1537d469dc73
hex1f8ef06559

135542105433 has 96 divisors (see below), whose sum is σ = 237466705920. Its totient is φ = 76170235680.

The previous prime is 135542105429. The next prime is 135542105449. The reversal of 135542105433 is 334501245531.

135542105433 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 4 + 210 + 5 + 433 = 666.

It is not a de Polignac number, because 135542105433 - 22 = 135542105429 is a prime.

It is not an unprimeable number, because it can be changed into a prime (135542105423) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 87842460 + ... + 87844002.

It is an arithmetic number, because the mean of its divisors is an integer number (2473611520).

Almost surely, 2135542105433 is an apocalyptic number.

It is an amenable number.

135542105433 is a deficient number, since it is larger than the sum of its proper divisors (101924600487).

135542105433 is a wasteful number, since it uses less digits than its factorization.

135542105433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2624 (or 2611 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 135542105433 in words is "one hundred thirty-five billion, five hundred forty-two million, one hundred five thousand, four hundred thirty-three".

Divisors: 1 3 7 9 21 27 49 63 67 147 189 201 441 469 603 991 1323 1407 1543 1809 2973 3283 4221 4629 6937 8919 9849 10801 12663 13887 20811 26757 29547 32403 41661 48559 62433 66397 75607 88641 97209 103381 145677 187299 199191 226821 291627 310143 437031 464779 597573 680463 723667 930429 1311093 1394337 1529113 1792719 2041389 2171001 2791287 3253453 4183011 4587339 5065669 6513003 9760359 10703791 12549033 13762017 15197007 19539009 29281077 32111373 41286051 45591021 74926537 87843231 96334119 102450571 136773063 224779611 289002357 307351713 674338833 717153997 922055139 2023016499 2151461991 2766165417 5020077979 6454385973 15060233937 19363157919 45180701811 135542105433