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114692650464 = 2537226392707
BaseRepresentation
bin110101011010000110…
…1101111010111100000
3101222001010110022122010
41222310031233113200
53334342304303324
6124404501312520
711200122305100
oct1526415572740
9358033408563
10114692650464
1144706013937
121a28a405740
13aa7a786662
1457a051b200
152eb408c829
hex1ab436f5e0

114692650464 has 144 divisors (see below), whose sum is σ = 351557635968. Its totient is φ = 32644378368.

The previous prime is 114692650451. The next prime is 114692650477. The reversal of 114692650464 is 464056296411.

It is an interprime number because it is at equal distance from previous prime (114692650451) and next prime (114692650477).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1190799 + ... + 1283505.

It is an arithmetic number, because the mean of its divisors is an integer number (2441372472).

Almost surely, 2114692650464 is an apocalyptic number.

114692650464 is a gapful number since it is divisible by the number (14) 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 114692650464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175778817984).

114692650464 is an abundant number, since it is smaller than the sum of its proper divisors (236864985504).

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

114692650464 is a wasteful number, since it uses less digits than its factorization.

114692650464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92997 (or 92982 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 114692650464 in words is "one hundred fourteen billion, six hundred ninety-two million, six hundred fifty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 263 294 336 392 526 588 672 784 789 1052 1176 1568 1578 1841 2104 2352 3156 3682 4208 4704 5523 6312 7364 8416 11046 12624 12887 14728 22092 25248 25774 29456 38661 44184 51548 58912 77322 88368 92707 103096 154644 176736 185414 206192 278121 309288 370828 412384 556242 618576 648949 741656 1112484 1237152 1297898 1483312 1946847 2224968 2595796 2966624 3893694 4449936 4542643 5191592 7787388 8899872 9085286 10383184 13627929 15574776 18170572 20766368 24381941 27255858 31149552 36341144 48763882 54511716 62299104 72682288 73145823 97527764 109023432 145364576 146291646 170673587 195055528 218046864 292583292 341347174 390111056 436093728 512020761 585166584 682694348 780222112 1024041522 1170333168 1194715109 1365388696 2048083044 2340666336 2389430218 2730777392 3584145327 4096166088 4778860436 5461554784 7168290654 8192332176 9557720872 14336581308 16384664352 19115441744 28673162616 38230883488 57346325232 114692650464