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61030816896 = 273750345139
BaseRepresentation
bin111000110101101110…
…000101110010000000
312211112100020201200210
4320311232011302000
51444442342120041
644012010114120
74260254245530
oct706556056200
9184470221623
1061030816896
112397933a055
12b9b311b940
1359a819710a
142d4d7434c0
1518c2ec0016
hexe35b85c80

61030816896 has 128 divisors (see below), whose sum is σ = 185644569600. Its totient is φ = 17402323968.

The previous prime is 61030816879. The next prime is 61030816933. The reversal of 61030816896 is 69861803016.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×610308168962 (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1329495 + ... + 1374633.

It is an arithmetic number, because the mean of its divisors is an integer number (1450348200).

Almost surely, 261030816896 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 61030816896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92822284800).

61030816896 is an abundant number, since it is smaller than the sum of its proper divisors (124613752704).

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

61030816896 is a wasteful number, since it uses less digits than its factorization.

61030816896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45666 (or 45654 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The spelling of 61030816896 in words is "sixty-one billion, thirty million, eight hundred sixteen thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 503 672 896 1006 1344 1509 2012 2688 3018 3521 4024 6036 7042 8048 10563 12072 14084 16096 21126 24144 28168 32192 42252 45139 48288 56336 64384 84504 90278 96576 112672 135417 169008 180556 193152 225344 270834 315973 338016 361112 450688 541668 631946 676032 722224 947919 1083336 1263892 1352064 1444448 1895838 2166672 2527784 2888896 3791676 4333344 5055568 5777792 7583352 8666688 10111136 15166704 17333376 20222272 22704917 30333408 40444544 45409834 60666816 68114751 90819668 121333632 136229502 158934419 181639336 272459004 317868838 363278672 476803257 544918008 635737676 726557344 953606514 1089836016 1271475352 1453114688 1907213028 2179672032 2542950704 2906229376 3814426056 4359344064 5085901408 7628852112 8718688128 10171802816 15257704224 20343605632 30515408448 61030816896