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41081535463152 = 24319319547152203
BaseRepresentation
bin10010101011101000010100…
…10100111111111011110000
312101110100121211201010021010
421111310022110333323300
520341034441034310102
6223212332530430520
711440020513563232
oct1125641224777360
9171410554633233
1041081535463152
11120a9643859258
124735a63132440
1319bcc83b25b92
14a204dd592252
154b3959653d6c
hex255d0a53fef0

41081535463152 has 160 divisors (see below), whose sum is σ = 115329427333120. Its totient is φ = 12553231322880.

The previous prime is 41081535463141. The next prime is 41081535463169. The reversal of 41081535463152 is 25136453518014.

It is a super-2 number, since 2×410815354631522 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 269836683 + ... + 269988885.

It is an arithmetic number, because the mean of its divisors is an integer number (720808920832).

Almost surely, 241081535463152 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 41081535463152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57664713666560).

41081535463152 is an abundant number, since it is smaller than the sum of its proper divisors (74247891869968).

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

41081535463152 is a wasteful number, since it uses less digits than its factorization.

41081535463152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161811 (or 161805 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 48.

The spelling of 41081535463152 in words is "forty-one trillion, eighty-one billion, five hundred thirty-five million, four hundred sixty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 38 48 57 62 76 93 114 124 152 186 228 248 304 372 456 496 589 744 912 1178 1488 1767 2356 3534 4712 7068 9424 9547 14136 19094 28272 28641 38188 57282 76376 114564 152203 152752 181393 229128 295957 304406 362786 456609 458256 544179 591914 608812 725572 887871 913218 1088358 1183828 1217624 1451144 1775742 1826436 2176716 2367656 2435248 2891857 2902288 3551484 3652872 4353432 4718293 4735312 5623183 5783714 7102968 7305744 8675571 8706864 9436586 11246366 11567428 14154879 14205936 16869549 17351142 18873172 22492732 23134856 28309758 33739098 34702284 37746344 44985464 46269712 56619516 67478196 69404568 75492688 89647567 89970928 113239032 134956392 138809136 179295134 226478064 268942701 269912784 358590268 537885402 717180536 1075770804 1434361072 1453082041 2151541608 2906164082 4303083216 4359246123 5812328164 8718492246 11624656328 17436984492 23249312656 27608558779 34873968984 45045543271 55217117558 69747937968 82825676337 90091086542 110434235116 135136629813 165651352674 180182173084 220868470232 270273259626 331302705348 360364346168 441736940464 540546519252 662605410696 720728692336 855865322149 1081093038504 1325210821392 1711730644298 2162186077008 2567595966447 3423461288596 5135191932894 6846922577192 10270383865788 13693845154384 20540767731576 41081535463152