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2348973108496 = 247212724312
BaseRepresentation
bin100010001011101001101…
…101010010110100010000
322022120002222022120000101
4202023221231102310100
5301441144103432441
64555034153502144
7331464512661400
oct42135155226420
98276088276011
102348973108496
1182621509a373
1231b2b6411954
1314067946b691
1481995bb4800
154117ecdc231
hex222e9b52d10

2348973108496 has 135 divisors (see below), whose sum is σ = 5348602274967. Its totient is φ = 996458621760.

The previous prime is 2348973108403. The next prime is 2348973108527. The reversal of 2348973108496 is 6948013798432.

The square root of 2348973108496 is 1532636.

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5450053401 + ... + 5450053831.

Almost surely, 22348973108496 is an apocalyptic number.

2348973108496 is the 1532636-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2348973108496

2348973108496 is an abundant number, since it is smaller than the sum of its proper divisors (2999629166471).

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

2348973108496 is an frugal number, since it uses more digits than its factorization.

2348973108496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 64.

Multiplying 2348973108496 by its sum of digits (64), we get a square (150334278943744 = 122610882).

The spelling of 2348973108496 in words is "two trillion, three hundred forty-eight billion, nine hundred seventy-three million, one hundred eight thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 127 196 254 392 431 508 784 862 889 1016 1724 1778 2032 3017 3448 3556 6034 6223 6896 7112 12068 12446 14224 16129 21119 24136 24892 32258 42238 48272 49784 54737 64516 84476 99568 109474 112903 129032 168952 185761 218948 225806 258064 337904 371522 383159 437896 451612 743044 766318 790321 875792 903224 1300327 1486088 1532636 1580642 1806448 2600654 2682113 2972176 3065272 3161284 5201308 5364226 6130544 6322568 6951599 9102289 10402616 10728452 12645136 13903198 18204578 20805232 21456904 23591647 27806396 36409156 42913808 47183294 48661193 55612792 72818312 94366588 97322386 111225584 145636624 165141529 188733176 194644772 330283058 340628351 377466352 389289544 660566116 681256702 778579088 1155990703 1321132232 1362513404 2311981406 2642264464 2725026808 2996139169 4623962812 5450053616 5992278338 9247925624 11984556676 18495851248 20972974183 23969113352 41945948366 47938226704 83891896732 146810819281 167783793464 293621638562 335567586928 587243277124 1174486554248 2348973108496