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35542023132 = 223711149258157
BaseRepresentation
bin100001000110011110…
…000011101111011100
310101201222120211220010
4201012132003233130
51040242224220012
624154444523220
72365523132460
oct410636035734
9111658524803
1035542023132
1114089600040
126a7ab50510
133475600425
141a124c04a0
15dd0449c3c
hex846783bdc

35542023132 has 96 divisors (see below), whose sum is σ = 104089305600. Its totient is φ = 9169701120.

The previous prime is 35542023109. The next prime is 35542023149. The reversal of 35542023132 is 23132024553.

35542023132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×355420231323 (a number of 33 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 35542023132.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8598 + ... + 266754.

It is an arithmetic number, because the mean of its divisors is an integer number (1084263600).

Almost surely, 235542023132 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 35542023132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52044652800).

35542023132 is an abundant number, since it is smaller than the sum of its proper divisors (68547282468).

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

35542023132 is a wasteful number, since it uses less digits than its factorization.

35542023132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258331 (or 258329 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 35542023132 its reverse (23132024553), we get a palindrome (58674047685).

The spelling of 35542023132 in words is "thirty-five billion, five hundred forty-two million, twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 149 154 231 298 308 447 462 596 894 924 1043 1639 1788 2086 3129 3278 4172 4917 6258 6556 9834 11473 12516 19668 22946 34419 45892 68838 137676 258157 516314 774471 1032628 1548942 1807099 2839727 3097884 3614198 5421297 5679454 7228396 8519181 10842594 11358908 17038362 19878089 21685188 34076724 38465393 39756178 59634267 76930786 79512356 115396179 119268534 153861572 230792358 238537068 269257751 423119323 461584716 538515502 807773253 846238646 1077031004 1269357969 1615546506 1692477292 2538715938 2961835261 3231093012 5077431876 5923670522 8885505783 11847341044 17771011566 35542023132