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109970069952 = 2636157716273
BaseRepresentation
bin110011001101010111…
…0100001100111000000
3101111212000002101001210
41212122232201213000
53300204314214302
6122304120130120
710642106112561
oct1463256414700
9344760071053
10109970069952
1142702268236
1219390906940
13a4a724aa12
145473232168
152cd968466c
hex199aba19c0

109970069952 has 112 divisors (see below), whose sum is σ = 296263092512. Its totient is φ = 35991060480.

The previous prime is 109970069903. The next prime is 109970069953. The reversal of 109970069952 is 259960079901.

It is a junction number, because it is equal to n+sod(n) for n = 109970069892 and 109970069901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109970069953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6749688 + ... + 6765960.

Almost surely, 2109970069952 is an apocalyptic number.

109970069952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109970069952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148131546256).

109970069952 is an abundant number, since it is smaller than the sum of its proper divisors (186293022560).

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

109970069952 is a wasteful number, since it uses less digits than its factorization.

109970069952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16926 (or 16916 counting only the distinct ones).

The product of its (nonzero) digits is 2755620, while the sum is 57.

The spelling of 109970069952 in words is "one hundred nine billion, nine hundred seventy million, sixty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 183 192 244 366 488 577 732 976 1154 1464 1731 1952 2308 2928 3462 3904 4616 5856 6924 9232 11712 13848 16273 18464 27696 32546 35197 36928 48819 55392 65092 70394 97638 105591 110784 130184 140788 195276 211182 260368 281576 390552 422364 520736 563152 781104 844728 992653 1041472 1126304 1562208 1689456 1985306 2252608 2977959 3124416 3378912 3970612 5955918 6757824 7941224 9389521 11911836 15882448 18779042 23823672 28168563 31764896 37558084 47647344 56337126 63529792 75116168 95294688 112674252 150232336 190589376 225348504 300464672 450697008 572760781 600929344 901394016 1145521562 1718282343 1802788032 2291043124 3436564686 4582086248 6873129372 9164172496 13746258744 18328344992 27492517488 36656689984 54985034976 109970069952