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61026742606764 = 2231122912659114487
BaseRepresentation
bin11011110000000111001010…
…10100001001101110101100
322000002002200121202010100110
431320003211110021232230
530444330232101404024
6333443144251500020
715566015400204144
oct1570034524115654
9260062617663313
1061026742606764
1118499329268300
126a17484757610
132808a493c6cac
14110d9d273d924
1570c6a3ea9629
hex3780e5509bac

61026742606764 has 144 divisors (see below), whose sum is σ = 161928987897600. Its totient is φ = 17853697868160.

The previous prime is 61026742606763. The next prime is 61026742606811. The reversal of 61026742606764 is 46760624762016.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (61026742606763) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 532987929 + ... + 533102415.

It is an arithmetic number, because the mean of its divisors is an integer number (1124506860400).

Almost surely, 261026742606764 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 61026742606764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80964493948800).

61026742606764 is an abundant number, since it is smaller than the sum of its proper divisors (100902245290836).

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

61026742606764 is a wasteful number, since it uses less digits than its factorization.

61026742606764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127204 (or 127191 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 57.

The spelling of 61026742606764 in words is "sixty-one trillion, twenty-six billion, seven hundred forty-two million, six hundred six thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 121 132 174 242 319 348 363 484 638 726 957 1276 1452 1914 3509 3828 7018 10527 12659 14036 21054 25318 37977 42108 50636 75954 114487 139249 151908 228974 278498 343461 367111 417747 457948 556996 686922 734222 835494 1101333 1259357 1373844 1468444 1531739 1670988 2202666 2518714 3063478 3320123 3778071 4038221 4405332 4595217 5037428 6126956 6640246 7556142 8076442 9190434 9960369 12114663 13280492 13852927 15112284 16152884 18380868 19920738 24229326 27705854 36521353 39841476 41558781 44420431 48458652 55411708 73042706 83117562 88840862 109564059 133261293 146085412 166235124 177681724 219128118 266522586 401734883 438256236 533045172 803469766 1205204649 1449290933 1606939532 2410409298 2898581866 4347872799 4820818596 5797163732 8695745598 15942200263 17391491196 31884400526 42029437057 47826600789 63768801052 84058874114 95653201578 126088311171 168117748228 175364202893 191306403156 252176622342 350728405786 462323807627 504353244684 526092608679 701456811572 924647615254 1052185217358 1386971422881 1849295230508 2104370434716 2773942845762 5085561883897 5547885691524 10171123767794 15256685651691 20342247535588 30513371303382 61026742606764