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30973036730400 = 25325214683292979
BaseRepresentation
bin1110000101011011110001…
…10110100001100000100000
311001122222211011222011120100
413002231320312201200200
513024430234400333100
6145512452221142400
76344504503211622
oct702557066414040
9131588734864510
1030973036730400
119961655850466
1235829473baa00
13143898b51779b
147911627d2c12
1538aa2e313400
hex1c2b78da1820

30973036730400 has 216 divisors, whose sum is σ = 109226482026480. Its totient is φ = 8258885752320.

The previous prime is 30973036730393. The next prime is 30973036730407. The reversal of 30973036730400 is 403763037903.

30973036730400 is a `hidden beast` number, since 30 + 9 + 7 + 303 + 6 + 7 + 304 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (30973036730393) and next prime (30973036730407).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (30973036730407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 105571111 + ... + 105864089.

It is an arithmetic number, because the mean of its divisors is an integer number (505678157530).

Almost surely, 230973036730400 is an apocalyptic number.

30973036730400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30973036730400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54613241013240).

30973036730400 is an abundant number, since it is smaller than the sum of its proper divisors (78253445296080).

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

30973036730400 is a wasteful number, since it uses less digits than its factorization.

30973036730400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307688 (or 307672 counting only the distinct ones).

The product of its (nonzero) digits is 857304, while the sum is 45.

The spelling of 30973036730400 in words is "thirty trillion, nine hundred seventy-three billion, thirty-six million, seven hundred thirty thousand, four hundred".