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61056006060504 = 23371340216952511
BaseRepresentation
bin11011110000111101101011…
…00011010111100111011000
322000011220020001002121012110
431320132311203113213120
531000320200022414004
6333504424133112320
715601102514356620
oct1570366543274730
9260156201077173
1061056006060504
11184aa785770214
126a21090a886a0
13280b730cc51b0
1411111ab019880
1570d3180e2589
hex3787b58d79d8

61056006060504 has 128 divisors (see below), whose sum is σ = 187911381934080. Its totient is φ = 16098675955200.

The previous prime is 61056006060503. The next prime is 61056006060509. The reversal of 61056006060504 is 40506060065016.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61056006060503) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5305609 + ... + 12258119.

It is an arithmetic number, because the mean of its divisors is an integer number (1468057671360).

Almost surely, 261056006060504 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 61056006060504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93955690967040).

61056006060504 is an abundant number, since it is smaller than the sum of its proper divisors (126855375873576).

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

61056006060504 is a wasteful number, since it uses less digits than its factorization.

61056006060504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6956561 (or 6956557 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The spelling of 61056006060504 in words is "sixty-one trillion, fifty-six billion, six million, sixty thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 1092 2184 4021 8042 12063 16084 24126 28147 32168 48252 52273 56294 84441 96504 104546 112588 156819 168882 209092 225176 313638 337764 365911 418184 627276 675528 731822 1097733 1254552 1463644 2195466 2927288 4390932 6952511 8781864 13905022 20857533 27810044 41715066 48667577 55620088 83430132 90382643 97335154 146002731 166860264 180765286 194670308 271147929 292005462 361530572 389340616 542295858 584010924 632678501 723061144 1084591716 1168021848 1265357002 1898035503 2169183432 2530714004 3796071006 5061428008 7592142012 15184284024 27956046731 55912093462 83868140193 111824186924 167736280386 195692327117 223648373848 335472560772 363428607503 391384654234 587076981351 670945121544 726857215006 782769308468 1090285822509 1174153962702 1453714430012 1565538616936 2180571645018 2348307925404 2544000252521 2907428860024 4361143290036 4696615850808 5088000505042 7632000757563 8722286580072 10176001010084 15264001515126 20352002020168 30528003030252 61056006060504