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7630340096 = 2143741307
BaseRepresentation
bin1110001101100110…
…11100000000000000
3201200202211102211202
413012303130000000
5111111331340341
63301052400332
7360041551331
oct70663340000
921622742752
107630340096
1132661454a5
12158b4760a8
13947a95552
14525560288
152e9d2b79b
hex1c6cdc000

7630340096 has 120 divisors (see below), whose sum is σ = 16107208656. Its totient is φ = 3609722880.

The previous prime is 7630340089. The next prime is 7630340099. The reversal of 7630340096 is 6900430367.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7630340099) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24854375 + ... + 24854681.

Almost surely, 27630340096 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 7630340096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8053604328).

7630340096 is an abundant number, since it is smaller than the sum of its proper divisors (8476868560).

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

7630340096 is an equidigital number, since it uses as much as digits as its factorization.

7630340096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 38.

The square root of 7630340096 is about 87351.8179318553. The cubic root of 7630340096 is about 1968.7079657024.

The spelling of 7630340096 in words is "seven billion, six hundred thirty million, three hundred forty thousand, ninety-six".

Divisors: 1 2 4 8 16 32 37 41 64 74 82 128 148 164 256 296 307 328 512 592 614 656 1024 1184 1228 1312 1517 2048 2368 2456 2624 3034 4096 4736 4912 5248 6068 8192 9472 9824 10496 11359 12136 12587 16384 18944 19648 20992 22718 24272 25174 37888 39296 41984 45436 48544 50348 75776 78592 83968 90872 97088 100696 151552 157184 167936 181744 194176 201392 303104 314368 335872 363488 388352 402784 465719 606208 628736 671744 726976 776704 805568 931438 1257472 1453952 1553408 1611136 1862876 2514944 2907904 3106816 3222272 3725752 5029888 5815808 6213632 6444544 7451504 11631616 12427264 12889088 14903008 23263232 24854528 25778176 29806016 46526464 51556352 59612032 93052928 103112704 119224064 186105856 206225408 238448128 476896256 953792512 1907585024 3815170048 7630340096