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7929680388 = 22372472631091
BaseRepresentation
bin1110110001010010…
…10101001000000100
3202110122002111112020
413120221111020010
5112214444233023
63350504323140
7400335112500
oct73051251004
922418074466
107929680388
1133aa109273
1216537734b0
13994ac1c96
14553201300
15316259de3
hex1d8a55204

7929680388 has 144 divisors (see below), whose sum is σ = 22085167104. Its totient is φ = 2206962240.

The previous prime is 7929680333. The next prime is 7929680393. The reversal of 7929680388 is 8830869297.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7267723 + ... + 7268813.

It is an arithmetic number, because the mean of its divisors is an integer number (153369216).

Almost surely, 27929680388 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 7929680388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11042583552).

7929680388 is an abundant number, since it is smaller than the sum of its proper divisors (14155486716).

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

7929680388 is a wasteful number, since it uses less digits than its factorization.

7929680388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1422 (or 1413 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 60.

The square root of 7929680388 is about 89048.7528716714. The cubic root of 7929680388 is about 1994.1227783838.

The spelling of 7929680388 in words is "seven billion, nine hundred twenty-nine million, six hundred eighty thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 47 49 84 94 98 141 147 188 196 263 282 294 329 526 564 588 658 789 987 1052 1091 1316 1578 1841 1974 2182 2303 3156 3273 3682 3948 4364 4606 5523 6546 6909 7364 7637 9212 11046 12361 12887 13092 13818 15274 22092 22911 24722 25774 27636 30548 37083 38661 45822 49444 51277 51548 53459 74166 77322 86527 91644 102554 106918 148332 153831 154644 160377 173054 205108 213836 259581 286933 307662 320754 346108 358939 519162 573866 605689 615324 641508 717878 860799 1038324 1076817 1147732 1211378 1435756 1721598 1817067 2008531 2153634 2422756 2512573 3443196 3634134 4017062 4307268 5025146 6025593 7268268 7537719 8034124 10050292 12051186 13485851 14059717 15075438 24102372 26971702 28119434 30150876 40457553 42179151 53943404 56238868 80915106 84358302 94400957 161830212 168716604 188801914 283202871 377603828 566405742 660806699 1132811484 1321613398 1982420097 2643226796 3964840194 7929680388