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3902197911648 = 253615101130633
BaseRepresentation
bin111000110010001101000…
…111101101000001100000
3111211001020212210211122120
4320302031013231001200
51002413200131133043
612144351151504240
7551632046655231
oct70621507550140
914731225724576
103902197911648
111274a04a9a083
12530332228080
13223c8b768c3a
14d6c20175088
156b789bc8983
hex38c8d1ed060

3902197911648 has 96 divisors (see below), whose sum is σ = 10413312692832. Its totient is φ = 1279148544000.

The previous prime is 3902197911613. The next prime is 3902197911653. The reversal of 3902197911648 is 8461197912093.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 3902197911591 and 3902197911600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29806140 + ... + 29936772.

It is an arithmetic number, because the mean of its divisors is an integer number (108472007217).

Almost surely, 23902197911648 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 3902197911648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5206656346416).

3902197911648 is an abundant number, since it is smaller than the sum of its proper divisors (6511114781184).

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

3902197911648 is a wasteful number, since it uses less digits than its factorization.

3902197911648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135808 (or 135800 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 60.

The spelling of 3902197911648 in words is "three trillion, nine hundred two billion, one hundred ninety-seven million, nine hundred eleven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 96 122 183 244 366 488 732 976 1464 1952 2928 5101 5856 10202 15303 20404 30606 40808 61212 81616 122424 130633 163232 244848 261266 311161 391899 489696 522532 622322 783798 933483 1045064 1244644 1567596 1866966 2090128 2489288 3135192 3733932 4180256 4978576 6270384 7467864 7968613 9957152 12540768 14935728 15937226 23905839 29871456 31874452 47811678 63748904 95623356 127497808 191246712 254995616 382493424 666358933 764986848 1332717866 1999076799 2665435732 3998153598 5330871464 7996307196 10661742928 15992614392 21323485856 31985228784 40647894913 63970457568 81295789826 121943684739 162591579652 243887369478 325183159304 487774738956 650366318608 975549477912 1300732637216 1951098955824 3902197911648