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991048124196 = 2232132127632
BaseRepresentation
bin11100110101111110001…
…00100100011100100100
310111202001211220000110100
432122333010210130210
5112214131304433241
62035140424424100
7131413045030524
oct16327704443444
93452054800410
10991048124196
11352334914129
121400a4018030
13725bc797c00
1435d7759b684
151aba58e39b6
hexe6bf124724

991048124196 has 81 divisors (see below), whose sum is σ = 2712889155249. Its totient is φ = 304913992032.

The previous prime is 991048124167. The next prime is 991048124197. The reversal of 991048124196 is 691421840199.

The square root of 991048124196 is 995514.

It is a perfect power (a square), and thus also a powerful number.

991048124196 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 146604752100 + 844443372096 = 382890^2 + 918936^2 .

It is not an unprimeable number, because it can be changed into a prime (991048124197) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 77643711 + ... + 77656473.

Almost surely, 2991048124196 is an apocalyptic number.

991048124196 is the 995514-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 991048124196

991048124196 is an abundant number, since it is smaller than the sum of its proper divisors (1721841031053).

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

991048124196 is a wasteful number, since it uses less digits than its factorization.

991048124196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25562 (or 12781 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 991048124196 in words is "nine hundred ninety-one billion, forty-eight million, one hundred twenty-four thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 676 1014 1521 2028 3042 6084 12763 25526 38289 51052 76578 114867 153156 165919 229734 331838 459468 497757 663676 995514 1493271 1991028 2156947 2986542 4313894 5973084 6470841 8627788 12941682 19412523 25883364 38825046 77650092 162894169 325788338 488682507 651576676 977365014 1466047521 1954730028 2117624197 2932095042 4235248394 5864190084 6352872591 8470496788 12705745182 19058617773 25411490364 27529114561 38117235546 55058229122 76234471092 82587343683 110116458244 165174687366 247762031049 330349374732 495524062098 991048124196