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61198077952 = 212113673701
BaseRepresentation
bin111000111111101100…
…001001000000000000
312211221222222110201201
4320333230021000000
52000313201443302
644040343110544
74264355036224
oct707754110000
9184858873651
1061198077952
1123a547a0830
12ba3b142454
135a03a2a85b
142d67a42784
1518d2a0dc87
hexe3fb09000

61198077952 has 104 divisors (see below), whose sum is σ = 133906730112. Its totient is φ = 27734016000.

The previous prime is 61198077847. The next prime is 61198077961. The reversal of 61198077952 is 25977089116.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 61198077893 and 61198077902.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16533702 + ... + 16537402.

Almost surely, 261198077952 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 61198077952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66953365056).

61198077952 is an abundant number, since it is smaller than the sum of its proper divisors (72708652160).

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

61198077952 is a wasteful number, since it uses less digits than its factorization.

61198077952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4103 (or 4081 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 55.

The spelling of 61198077952 in words is "sixty-one billion, one hundred ninety-eight million, seventy-seven thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 367 512 704 734 1024 1408 1468 2048 2816 2936 3701 4037 4096 5632 5872 7402 8074 11264 11744 14804 16148 22528 23488 29608 32296 40711 45056 46976 59216 64592 81422 93952 118432 129184 162844 187904 236864 258368 325688 375808 473728 516736 651376 751616 947456 1033472 1302752 1358267 1503232 1894912 2066944 2605504 2716534 3789824 4133888 5211008 5433068 7579648 8267776 10422016 10866136 14940937 15159296 16535552 20844032 21732272 29881874 41688064 43464544 59763748 83376128 86929088 119527496 166752256 173858176 239054992 347716352 478109984 695432704 956219968 1390865408 1912439936 2781730816 3824879872 5563461632 7649759744 15299519488 30599038976 61198077952