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3953691648 = 2103515889
BaseRepresentation
bin1110101110101000…
…1000110000000000
3101012112120100100000
43223222020300000
531044121113043
61452153200000
7166655552544
oct35352106000
911175510300
103953691648
111749835065
12924100000
134b015971a
1429713ba24
151821792d3
hexeba88c00

3953691648 has 132 divisors (see below), whose sum is σ = 11839766120. Its totient is φ = 1317814272.

The previous prime is 3953691629. The next prime is 3953691689. The reversal of 3953691648 is 8461963593.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3953691594 and 3953691603.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 240888 + ... + 256776.

Almost surely, 23953691648 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 3953691648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5919883060).

3953691648 is an abundant number, since it is smaller than the sum of its proper divisors (7886074472).

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

3953691648 is an equidigital number, since it uses as much as digits as its factorization.

3953691648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15924 (or 15894 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 54.

The square root of 3953691648 is about 62878.3877655908. The cubic root of 3953691648 is about 1581.2514317703.

The spelling of 3953691648 in words is "three billion, nine hundred fifty-three million, six hundred ninety-one thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 768 864 972 1024 1152 1296 1536 1728 1944 2304 2592 3072 3456 3888 4608 5184 6912 7776 9216 10368 13824 15552 15889 20736 27648 31104 31778 41472 47667 62208 63556 82944 95334 124416 127112 143001 190668 248832 254224 286002 381336 429003 508448 572004 762672 858006 1016896 1144008 1287009 1525344 1716012 2033792 2288016 2574018 3050688 3432024 3861027 4067584 4576032 5148036 6101376 6864048 7722054 8135168 9152064 10296072 12202752 13728096 15444108 16270336 18304128 20592144 24405504 27456192 30888216 36608256 41184288 48811008 54912384 61776432 73216512 82368576 109824768 123552864 146433024 164737152 219649536 247105728 329474304 439299072 494211456 658948608 988422912 1317897216 1976845824 3953691648