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146535436150 = 25253353383409
BaseRepresentation
bin1000100001111000110…
…0010100111101110110
3112000020022021102201221
42020132030110331312
54400101032424100
6151152322540554
713405166441005
oct2103614247566
9460208242657
10146535436150
1157166485044
122449650775a
1310a8386c28c
1471415b8c3c
153c2987201a
hex221e314f76

146535436150 has 96 divisors (see below), whose sum is σ = 279894942720. Its totient is φ = 57055764480.

The previous prime is 146535436133. The next prime is 146535436153. The reversal of 146535436150 is 51634535641.

146535436150 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 146535436097 and 146535436106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146535436153) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 358277146 + ... + 358277554.

It is an arithmetic number, because the mean of its divisors is an integer number (2915572320).

Almost surely, 2146535436150 is an apocalyptic number.

146535436150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

146535436150 is a deficient number, since it is larger than the sum of its proper divisors (133359506570).

146535436150 is a wasteful number, since it uses less digits than its factorization.

146535436150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 43.

The spelling of 146535436150 in words is "one hundred forty-six billion, five hundred thirty-five million, four hundred thirty-six thousand, one hundred fifty".

Divisors: 1 2 5 10 25 50 53 106 265 353 383 409 530 706 766 818 1325 1765 1915 2045 2650 3530 3830 4090 8825 9575 10225 17650 18709 19150 20299 20450 21677 37418 40598 43354 93545 101495 108385 135199 144377 156647 187090 202990 216770 270398 288754 313294 467725 507475 541925 675995 721885 783235 935450 1014950 1083850 1351990 1443770 1566470 3379975 3609425 3916175 6759950 7165547 7218850 7651981 7832350 8302291 14331094 15303962 16604582 35827735 38259905 41511455 55296391 71655470 76519810 83022910 110592782 179138675 191299525 207557275 276481955 358277350 382599050 415114550 552963910 1382409775 2764819550 2930708723 5861417446 14653543615 29307087230 73267718075 146535436150